Question

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

Answer 1

Answer:

Nickel = 12

Quarters = 26

Step-by-step explanation:

Given

Represent Nickel with N and Quarters with Q

$Q = 14 + N$   --- It's 14 more quarters; not 143

$Worth = \ 7.10$

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:

$Q = 14 + N$

$Q = 14 + 12$

$Q = 26$