Question

This system of equations represents Reese’s pocket change. Let n represent the number of nickels and d represent the number of dimes Reese has in his pocket. n + d = 11 5n + 10d = 70 How many dimes are in Reese’s pocket?

Answer 1

3 dimes are in Reese's pocket.

Explanation:

Here, n represent the number of nickels and d represent the number of dimes.

Given the system of equations:

`n+d = 11` .....[1]

`5n+10d = 70` .....[2]

Multiply both sides by 5 in [1] we have;

`5n+5d=55` .....[3]

Subtract equation [3] from [2] we have;

`5d = 15`

Divide both sides by 5 we have;

d = 3

Therefore, 3 dimes are in Reese's pocket.

Answer 2

Answer: 3 dimes

Explanation:

Let n represent the number of nickels and d represent the number of dimes Reese has in his pocket.

Given system :
`n+d=11........(1)\\5n+10d=70............................(2)`

Divide equation (2) by 3 on both sides, we get

`n+2d=14................................(3)`

Subtract equation (1) from (3), we get

`d=3`

Hence, there are 3 dimes in Reese's pocket.