Question

MathematicalUse Number Sense Duane and Mick are savingtheir money to build a tree house. Duane adds $5 to their piggybank every other week. Mick adds $2 every week. So far they havesaved $45. How many weeks have they been saving their money?

Answer 1

assuming they start saving at 0 dollars

45=total=duanesavings+micksavings
duanesavings=confusing, I will explain
mick savings =amount saves per week times number of weeks

duane saves 5 dollars every other week, aka 2.5 dollars per 1 week
DS=2.5w
MS=2w

since they save at same time and at that week, when the weeks are equal (w=w), 45 it total

DS+MS=45
2.5w+2w=45
4.5w=45
divide by 4.5 both sides
w=10

10 weeks