Deandre and Eduardo when to the farmers market. Deandre purchased 15 tomatoes and 12 ears of corn, and Eduardo purshased 3 tomatoes and 10 ears of corn. If Deandre spent $58.32 and Eduardo spent $34.16, 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?

Question

Mathematics

Teagan Manning

12 August, 19:40

Deandre and Eduardo when to the farmers market. Deandre purchased 15 tomatoes and 12 ears of corn, and Eduardo purshased 3 tomatoes and 10 ears of corn. If Deandre spent $58.32 and Eduardo spent $34.16, 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?

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Answers (1)

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Damien Snyder · Answer 1

Single tomato=$1,32

Single ear of corn=$3,21

Step-by-step explanation:

For this we need to express 2 inequalities with 2 unknown letters

For Deandre we have:

15 (x) + 12 (y) = 58,32

x being the price for tomato and y for ears of corn

For Eduardo we can use the same letters for price of tomatoes and ears of corn:

3 (x) + 10 (y) = 34,16

We can clear one letter in function of the other in one inequality

3x=34,16-10y

x = (34,16-10y) / 3

and use this expression to solve the first

15 ((34,16-10y) / 3) + 12y=58,32

170,8-50y+15y=58,32

112,48=35y

3,21=y

and y represents the price for each ear of corn

15x+12 (3,21) = 58,32

15x=19,8

x=1,32

x represents the price for each tomato