Question

50 Points! Question In Image Show ALL Work

Answer 1

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➷ First identify and assign the variables:

q = number of quarters

d = number of dimes

This is what we know:

q + d = 22

A quarter is 25 cents and a dime is 10 cents

You can write this as:

0.25q + 0.1d = 3.40

Rearrange the first equation for d

d = 22 - q

Substitute this value into the other equation:

0.25q + 0.1(22 - q) = 3.40

Simplify:

0.25q + 2.2 - 0.1q = 3.40

0.15q + 2.2 = 3.4

Subtract 2.2 from both sides:

0.15q = 1.2

Divide both sides by 0.15:

q = 8

Substitute into the first equation:

8 + d = 22

d = 14

Therefore, there are 8 quarters and 14 dimes.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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