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

Nickel = 12

Quarters = 26

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`