Question

· Lucy buys 3 apples and 6 mangos for a total of $9.15.

· Amir buys 8 apples and 4 mangos for 11.92.


What is the cost of a single apple?

Answer 1

0.97

Explanation:

Let x be the cost of apples

Let y be the cost of mangoes

3x + 6y= 9.15......equation 1

8x + 4y= 11.92........equation 2

Multiply equation 1 by 8 and equation 2 by 3

24x + 48y = 73.2

-

24x + 12y = 35.76

36y = 37.44

y = 37.44/36

y= 1.04

Substitute 1.04 for y in equation 1

3x + 6y = 9.15

3x +6(1.04)= 9.15

3x + 6.24= 9.15

3x = 9.15-6.24

3x = 2.91

x = 2.91/3

x = 0.97

Hence the price of a single apple is 0.97