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16 June, 18:53

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

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  1. 16 June, 19:05
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    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

    Step-by-step 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
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