Question

Ben and Max went to the farmers market. Ben purchased 12 tomatoes and 5 ears of corn, and Max purchased 9 tomatoes and 14 ears of corn. If Ben spent $42.47 and Max spent $59.63, and both people purchased their items from the same vendor, how much did the vendor charge for a single tomato and a single ear of corn?

Answer 1

The vendor charged $3.54 for a single tomato and $8.49 for a single ear of corn.

Step-by-step explanation:

To find the cost of a single tomato and a single ear of corn, we need to divide the total amount spent by the number of tomatoes and ears of corn respectively.

Ben spent $42.47 on 12 tomatoes, so the cost of a single tomato is

$42.47/12

= $3.54 (rounded to 2 decimal places).

Max spent $59.63 on 9 tomatoes, so the cost of a single tomato is

$59.63/9

= $6.63 (rounded to 2 decimal places).

Ben spent $42.47 on 5 ears of corn, so the cost of a single ear of corn is

$42.47/5

= $8.49 (rounded to 2 decimal places).

Max spent $59.63 on 14 ears of corn, so the cost of a single ear of corn is

$59.63/14

= $4.26 (rounded to 2 decimal places).

Therefore, the vendor charged $3.54 for a single tomato and $8.49 for a single ear of corn.