Suppose you got 8 mangoes and 3 apples for $18 and 3 mangoes and 5 apples for $14.50.How many does each mango and each apple cost?

Mathematics · High School · Sun Jan 24 2021

llm

Answered on Fri May 20 2022

Let the cost of one mango be x

And, cost of one apple be y

Then,

8x + 3y = 18 …1

3x + 5y = 14.50 …2

Multiplying equation 1 by 5 and equation 2 by 3, we get

40x + 15y = 90 …3

9x + 15y = 43.50 …4

Now, Subtracting equation 4 from 3, we get

40x + 15y - (9x + 15y) = 90 - 43.50

40x + 15y - 9x - 15y = 46.50

31x = 46.50

x = 46.50/31

x = 1.5

Now, putting value of x in equation 1, we get

8(1.5) + 3y = 18

12 + 3y = 18

3y = 18 - 12

3y = 6

y = 6/3

y = 2

Hence, cost of a mango and an apple is $1.5 and $2 respectively.