Question

Khalil went into a grocery store and bought 6 applesland 9 mangos, costing a

total of $22.50. Easton went into the same grocery store and bought 2 apples
and 10 mangos, costing a total of $14.50. Determine the price of each apple
and the price of each mango.
Each apple costs $
Submit Answer
and each mango costs $

Answer 1

Each apple cost $2.25

Each mango costs $1.00

Explanation:

Let a = apples

Let m = mangos

6a + 9 m = 22.50 2a + 10 m = 14.50

I am going to take the second equation and multiply it through by -3

-3(2a + 10m) = (-3)(14.50)

-6a -30m = -43.50 Now add this to the first equation

6a + 9m = 22.50

-21m = -21 Divide both sides by 21

m =1 The mangos cost $1.00 each. Plug this into either equaion to find the cost of the apples

2a + 10m = 14.50

2a + 10(1) = 14.50

2a + 10 = 14.50 Subtract 10 from both sides

2a = 4.50 Divide both sides by 2

a = 2.25