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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