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Oduvanchick [21]
4 years ago
13

kendra has $7.10 in nickels and quarters. if she has 143 more quarters than nickels how many of each coin does she have

Mathematics
1 answer:
Norma-Jean [14]4 years ago
5 0

Answer:

Nickel = 12

Quarters = 26

Step-by-step explanation:

Given

<em>Represent Nickel with N and Quarters with Q</em>

Q = 14 + N   --- <em>It's 14 more quarters; not 143</em>

Worth = \$7.10

Required

Determine the quantity of each coin

First, we have to know that:

0.25Q + 0.05N = 7.10 -- (1)  ---- By converting N and Q to dollars;

Q = 14 + N

Substitute 14 + N for Q in (1)

0.25(14 + N) + 0.05N = 7.10

Open Brackets

3.5 + 0.25N + 0.05N = 7.10

Collect Like Terms

0.25N + 0.05N = 7.10 - 3.5

0.3N = 3.6

Divide through by 0.3

N = 3.6/0.3

N = 12

Recall that:

Q = 14 + N

Q = 14 + 12

Q = 26

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