Question

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?

Answer 1

Answer:

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