Moe and Larry each need to raise money to go on a trip with their school band. Moe has $40 in savings and earns $20 per week delivering papers. Larry has $70 in savings and earns $10 per week for doing yard work. when will they have the same amount of money? Make sure to define your variable (s).

So moe=40 + (20 times week) number of weeks is x

therefor moe=40+20x

larry=70 + (10 times weeks) weeks = x

therefor larry=70+10x

so

moe=20x+40

larry=10x+70

when will they be the same, just set them equal to each other and solve, assuming that the weeks are the same so

when moe's weeks=larry's weeks AND at the same time moe's money=larry's money is

20x+40=10x+70

divide both sides by 10

2x+4=x+7

subtrac 4 from both sides

2x=x+3

subtract x from both sides

x=3

they will have to work 3 weeks for their earnings to be equal

moe will have earned 100 and larry will have earned 100

the answer is 3 weeks

Assume that number of weeks = X

for Moe 40 + 20X

for Larry 70 + 10X

to have the same amount of money, then 40 + 20X = 70 + 10X

10X = 30

X = 30/10 = 3 weeks