a apple and two oranges cost $2.30. two apples and an orange cost $2.50. what is the cost 4 apples and 6 oranges? please show working.

Answer 1

x + 2y = 2.3

2x + y = 2.5

multiply 2nd equation by 2, then subtract the 1st equation to eliminate one variable

4x +2y = 5

x +2y = 2.3

3x = 2.7

divide both sides by 3

x = 2.7/3 = $0.90 for an apple = 90 cents

y = 2.5 -2(.9) = 2.5-1.8 = $0.70 for an orange = 70 cents

4x + 6y = 4(.9) + 6(.7) = 3.6+4.2= $7.80

4 apples and 6 oranges cost 7 dollars and 80 cents