Inaaya has a jar of coins containing only nickels, dimes, and quarters. A nickel is
worth 5 cents, a dime is worth 10 cents, a quarter is worth 25 cents, and a dollar
is worth 100 cents.
The ratio of the number of quarters to the number of dimes to the number of
nickels in the jar is 9 : 3 : 1. The total value of all the coins in the jar is $18.20.
How many coins does Inaaya have in her jar?

Answer:

91 total coins

63 quarters, 21 dimes, 7 nickels

Step-by-step explanation:

What I did first was did (9 * 0.25) + (3 * 0.10) + (1 * 0.05) to establish a formula.  Next, I did trial and error until I met the appropriate number, but since they needed to stay within a ratio, every time I increased the nickels by one, I needed to increase the dimes by 3 and the quarters by 9.  I eventually got to (63 * 0.25) + (21 * 0.10) + (7 * 0.05) = $18.20

A dollar is usually divided as nickels, dimes and quarters. The total number of coins Inaaya have in her jar is 91

Suppose the real measurements were "a" and "b"

Then their ratio will be formed as

[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]

where [tex]x[/tex] is a common factor (not 1)

This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.

Thus, a = px, b = qx

For the given case, let Inaaya has got the number of coins per type as:

Thus, total number of coins she get = x + y + z

Since we know that: a Nickel = $0.05, a Dime = $0.10, and a Quarter = $0.25

Thus,

Total value of money = [tex]$0.05 \times x + 0.10 \times y + 0.25 \times z[/tex] (in dollars)

Since it is given that she has got total amount in dollars as $18.20, thus,

[tex]0.05x + 0.1y + 0.25z = 18.2\\[/tex]

Also, let the ratio given is by cancelling a factor F, then

as it is given that:

Number of quarter : Number of dime : Number of nickel = 9 : 3 : 1

Then, using the equation we got for x, y, and z, we get:

[tex]0.05x + 0.1y + 0.25z = 18.2\\\\0.05(F) + 0.1(3F) + 0.25(9F) = 18.2\\0.05F + 0.3F + 2.25F = 18.2\\2.6F = 18.2\\F = 18.2/2.6 = 7[/tex]

Thus, number of quarters = 9F = 9 times 7  = 63

Number of dimes = 3F = 3 times 7 = 21

Number of nickels = 1F = F  = 7

Total coins = 63 + 21 + 7 = 91

Thus, the total number of coins Inaaya have in her jar is 91

Learn more about solving linear equations here:

https://brainly.com/question/13722693

I need help with this one


Q14

A number decreased by 0.8391 gives 0.1609.What is the number?
a.1.0
b.0.1
c.10
d.0.10

Which of the following could be used to estimate the quotient?

3,458 ÷ 6

4,000 ÷ 6 = 667
3,600 ÷ 6 = 600
3,400 ÷ 6 = 567
4,000 ÷ 10 = 400

Special pairs of angles and classifying thoughts (PLEASE HELP)

Explain how you would create opposite terms for the x-variable in this system.

3x – 6y = –8

-1x+4y=6

Can someone please help me with this?

OKOK I NEED HELP ON THESE THEY ARE MY LAST ONES

1. Triangle ABC has the following vertices: A (-1, 4), B (-1, 10), and C (3, 6).

It is translated to form Triangle A'B'C', and the new vertices are located at: A' (3, 4), B' (3, 10), and C' (7, 6).

Which statement below describes the translation that has occurred?

A. 4 units to the left

B. 2 units up

C. 3 units to the right

D. 4 units to the right


2. Point P, located at (-3, -4), is reflected across the y-axis.

What are the coordinates of this point after this transformation?

A. (3, -4)

B. (3, 4)

C. (4, 3)

D. (-3, 4)


3.A dilation with a scale factor of 1/2 is applied to the three sides of Triangle ABC to create Triangle A'B'C'.

The side lengths of Triangle ABC are: A = 4ft, B = 3ft, C = 5ft.

What are the lengths of the sides on the new Triangle A'B'C'?

A. A' = 8ft, B' = 6ft, C' = 10ft

B. A' = 2ft, B' = 1.5ft, C' = 2.5ft

C. A' = 3.5ft, B' = 2.5ft, C' = 4.5ft

D. A' = 4.5ft, B' = 3.5ft, C' = 5.5ft


4. There is a line segment called AB (not pictured). The coordinates of point A are (6, 2), and the coordinates of point B are (2, 6).

AB is transformed to form A'B', which is shown on the graph. Which transformation below caused AB to transform into A'B'? Use graph paper to sketch the transformation if needed.

A. a reflection across the x-axis

B. a counter-clockwise 90 degree rotation about the origin

C. a reflection across the y-axis

D. a translation 3 units down and 7 units left

As part of a survey, 300 people were asked to name their favorite ice cream. The results showed that 24% of survey responders liked cookies and cream ice cream the best. How many people chose cookies and cream ice cream as their favorite?

Use the figure to find each angle measure

sob sob... please help lol

GIVING BRAINLIEST FOR BEST ANSWER!
Solve five and two thirds times three fourths.
A) Three and eleven twelfths
B) Four and one twelfth
C) Four and three twelfths
D) Five and one twelfth

This is from IXL and need help on it please...

Which of the following could be the side lengths of a right triangle?


1 in, 2, in, 3 in


2 m, 5 m, 5 m


12 ft, 16 ft, 20 ft


3 in, 4 in, 6 in

PLEASE HELP!!

The Shapes Are Similar Find the Scale Factor

find the x plese helpp

What is the value of the expression below when y=5y=5?
4y to the second power-7y-6


PLEASE HELP MEH!!!!!!

Drag the numbers into the boxes to show the product of 0 . 24 × 13 . Numbers may be used more than once. 0 1 2 3 4.

can you help wit this question

PLS HELP!! I WILL GIVE BRAINLIEST IF U ANSWER CORRECTLY!!

Each cube in this solid figure is a unit cube.
What is the volume of this solid figure?

Enter your answer in the box.

__ units³

GIVING BRAINLIEST FOR BEST ANSWER!
Solve one and three fourths times two fourths.
A) Fourteen sixteenths
B) Fifteen sixteenths
C) Seventeen sixteenths
D) Eighteen sixteenths

johnny bought 6 2/3 pints of juice for a party. If each guest will drink 1/2 pint of juice, what is the greatest number of guests he can serve?

please help me with each my math questions thank you

The graph of a system of two linear equations is a pair of lines that intersect at the point . How many solutions does the system have?

Use properties of operations to write two equivalent expressions for 13(4 + x).
1. Explain how to distribute the 13 to the terms inside the parentheses, then do the distribution. Use multiplication to simplify the result. Write your answer in the space below.



2. Write another equivalent expression by using the commutative property of addition. Write your answer in the space below.

Help me pretty pls! :)

Please help me!! <3 I would appreciate it!

Which binomial is a factor of4x(to the power of 2)+x−14

You want to buy some beans. A 9-ounce package costs $2.79. A 16-ounce
package costs $5.12. A 24-ounce package costs $7.20. Which package is
the best buy?
A. The 9 oz pk. B. The 16 oz pk. C. The 24 oz pk. D. None

50 points please answer