every week Brady gets $2.50 more for his allowance than Max does. They spend $6 on snacks and save the rest. Brady saves $72, but Max saves only $52. How many weeks does it take Brady to save $72? much money does Max get every week?

Question

every week Brady gets $2.50 more for his allowance than Max does.  They spend $6 on snacks and save the rest.  Brady saves $72, but Max saves only $52.  How many weeks does it take Brady to save $72?   much money does Max get every week?

Steve · Accepted Answer

b = m + 2.50
Does each spend $6 on snacks? If so, the amount saved each week is b-6 and m-6.

After n weeks, b has saved $20 more than m. Since b-m=2.50, b saves 2.50 more than m each week. It will take 8 weeks for the difference to grow to $20.
Since b has saved $72 in 8 weeks, he saves $9 every week. m saves only $6.50 per week, making $52 in 8 weeks.

So, Max gets $12.50/week
Brady gets $15.00/week