Question

Rachel really wants to purchase a new skateboard and her mother has agreed to give her a weekly allowance that she can save until she has $220 (enough to buy the skateboard). Rochelle mother is a math teacher and presents two different plans for paying her weekly allowance

Plan 1: a fixed weekly payment of $25

Plan 2: a 120 initial plus payment $10 per week

Part 1: write an equation for each plan explain what information the variables and numbers represents

Part 2: which plan requires number of weeks to save enough money for the kateboard? Explain or show your work

Answer 1

Answer: part 1 : Equation for the first plan : 25x = 220

Equation for the second plan : 10x + 120 = 220

Part 2. The second plan requires more weeks to meet up , this means that the first plan is faster

Explanation:

Amount to be saved = $220

Plan 1 : this involves a fixed weekly payment of $25 , let the number of weeks be x , then

25x = $220

Calculating the value of x , we have

25x/25 = 220/25

x = 8.8

Therefore , the first plan requires 8.8 weeks to complete the required savings

Plan 2 : The require an initial payment of $120 plus $10 per week , this means

Let y be the number of weeks required to complete the payment for this plan , then we have

120 + 10y = 220 , calculating the value of y,

Subtracting 120 from both sides, we have

10y = 100

y = 10

This means that the second plan requires 10 weeks to complete the savings