Question

Smiley and Grumpy won the competition 4 years ago. This year, their jumping totals are as follows: When Smiley jumps 3 times and Grumpy jumps twice, their total is 48 step

Answer 1

Smiley: 8steps

Grumpy: 12 steps

Explanation:

Given

See attachment for complete question

Required

Steps taken by each

From the second statement, we have:

`3S + 2G = 48`

and

`4S + 2G = 56`

Subtract both equations

`3S - 4S + 2G - 2G = 48 - 56`

`-S = -8`

Solve for S

`S = 8`

Substitute
`S = 8` in
`3S + 2G = 48`

`3*8+2G = 48`

`24+2G = 48`

Subtract 24 from both sides

`2G = 24`

Divide both sides by 2

`G =12`