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## 3) Josie’s collection of 39 coins includes twice as many nickels than quarters. If the sum of the nickels and quarters is $4.55, How m

Question

3) Josie’s collection of 39 coins includes twice as many nickels than quarters. If

the sum of the nickels and quarters is $4.55, How many quarters does Josie

have in her collection?

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Mathematics
3 years
2021-08-28T13:19:09+00:00
2021-08-28T13:19:09+00:00 1 Answers
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## Answers ( )

Answer:13 quarters, 26 nickels.

Step-by-step explanation:n will be number of nickels, q will be number of quarters, and we have 39 total coins

so n + q = 39 (number of nickels + number of quarters = 39 coins.

The problem also says there are twice as many nickels as quarters. so we can call the number of nickels n or we can call it 2q (2 times the number of quarters)

which means

n + q = 39

2q + q = 39

3q = 39

q = 13

and she has 2 times as many nickels as quarters… 2 x 13 = 26 nickels

LMK if you have questions.

If you want to double check the money,

n(0.05) + q(0.25) = 4.55 is the equation to use.

26(0.05) + 13(0.25) = 1.3 + 3.25 = $4.55