Question

On Sunday, Jan. 7, 2007, Rob has $\$5$ he saved from his birthday, and he receives his first allowance payment of $\$35$. He will continue to receive a $\$35$ allowance payment every Sunday. However, starting Jan. 7, 2007, Rob is also responsible for paying for his five lunches each week at $\$3$ per lunch and his weekly Saturday movie that costs $\$9.50$. If Rob always adds the remainder of his allowances each week to his current savings, after how many total allowance payments will he have enough money to pay for the $\$50$ CD player he wants and still be able to cover his expenses for the rest of that week?

Answer 1

Answer: 5 allowance payments

Explanation:

It started on Sunday, Jan. 7, 2007

On this date, he was having $5 for his birthday and he received his allowance of $35. Therefore

Total amount is 35 + 5 = $40

His expenses are

For lunch, 3×5 lunches = $15 weekly

For Saturday movies, $9.50 weekly

Total expenses for the first week = 15+9.5 = 24.5

Balance at the end of week 1

= 40-24.5 = $15.5

He continues to receive $35 weekly

Amount in his account in week 2 is

35 + 15.5 = $50.5

Expenses for week 2 = 24.5

Balance at the end of week 2

=50.5 -24.5 = $26

Amount in his account in week 3 is

35 + 26 = $61

Expenses for week 3 = 24.5

Balance at the end of week 3

=61 - 24.5 = $36.5

Amount in his account in week 4 is

35 + 36.5 = $71.5

Expenses for week 4 = 24.5

Balance at the end of week 4

=71.5 - 24.5 = $47

Amount in his account in week 5 is

35 + 47 = $82

Expenses for week 5 = 24.5

Balance at the end of week 5

=82 - 24.5 = $57.5

He wants to to pay for the $50 CD player. He has $57.5

So he would be able to buy it and still cater for other expenses 5 allowance payments