Question

You have $60 and your sister has $120. you are saving $7 per week and your sister is saving $5 per week. how long will it take before you and your sister have the same amount of money and how much money will you each have?

Answer 1

well if you have 60 and she has 120 i will set it out as a sequence week by week
60,67,74,81,88,95,102,109,116,123,130,137,144,151,158,165,172,179,186,193,200,207,214,221,228,235,242,249,256,263,270
120,125,130,135,140,145,150,155,160,165,170,175,180,185,190,195,200,205,210,215,220,225,230,235,240, 245,250,255,260,265,270
it would take 31 weeks and the total is 270

Answer 2

x- number of weeks until the game is over.

60 + 7x = 120 + 5x ⇒ 7x - 5x = 120 - 60 ⇒ 2x = 60 ⇒ x = 30.

So, after 30 weeks,you and your sister have the same amount of money .

60 + 7·30 = 60 + 210 = 270 dollars, will you each have