Question

1. Jane saved up 20 coins, all nickels and

quarters, and when she counted it, she had
$3.00. How many nickels and how many
quarters did she have?
Let
Let
Equation:
Equation:
Sentence:​

Answer 1

10 nickels and 10 quarters

Explanation:

Given

Number of coins: 20

Vaiue of coins = $3.00

Required

Number of Nickels and Quarters;

Let N =Nickels and Q =Quarters

The total coins is represented as:

`N + Q = 20`

1 nickel is equivalent to $0.05 and 1 quarter is equivalent to $0.25; So

`0.05N + 0.25Q = 3`

Make N the subject of formula in the first equation

`N = 20 - Q`

Substitute this in the second equation

`0.05(20 - Q) + 0.25Q = 3`

`1 - 0.05Q + 0.25Q = 3`

Collect like terms

`-0.05Q + 0.25Q = 3 - 1`

`0.2Q = 2`

Multiply both sides by 5

`5 * 0.2Q = 2 * 5`

`Q = 10`

Recall that N = 20 - Q

`N = 20 - 10`

`N = 10`