Question

tom wants to buy some protein bars and magazines for a trip. he has decided to buy three times as many protein bars as magazines. each protein bar costs $0.70 and each magazine costs $2.50. the sales tax rate on both types of items is 6.5%. how many items can be buy if he has $20.00 to spend?

Answer 1

Tom can buy 26 protein bars and 7 magazines within his budget. To find out how many items Tom can buy with $20.00, we need to determine the cost of each protein bar and magazine after sales tax, and then divide his total budget by the cost of each item.

Step-by-step explanation:

To find out how many items Tom can buy with $20.00, we need to determine the cost of each protein bar and magazine after sales tax, and then divide his total budget by the cost of each item.

The cost of each protein bar after sales tax is $0.70 + ($0.70 * 0.065) = $0.7445.

The cost of each magazine after sales tax is $2.50 + ($2.50 * 0.065) = $2.6625.

Since Tom wants to buy three times as many protein bars as magazines, he can set up the equation: 3 * cost of protein bar = cost of magazine.

Let x represent the cost of each protein bar. Then 3 * x = $2.6625. Solving for x, we get x = $0.8875.

Now we can calculate how many items Tom can buy:
Number of protein bars = $20.00 / $0.7445 = 26.87 (rounded to 26)

Number of magazines = $20.00 / $2.6625 = 7.52 (rounded to 7)

Tom can buy a total of 26 protein bars and 7 magazines within his budget.