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

Answer:

Smiley: 8steps

Grumpy: 12 steps

Step-by-step 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

$G =12$