John bought 8 apples and 10 oranges for a total of $41.60. An orange cost 70 cents less than an apple. What was the total cost of the apples?

Answer 1

a = apples cost

o = orange cost

70 cents = 0.7 $

An orange cost 70 cents less than an apple.

This mean :

o = a - 0.7 $

Total cost = 41.6 $

8 a * 10 o = 41.6

8 a + 10 ( a - 0.7 ) = 41.6

8 a + 10 a - 7 = 41.6

18 a - 7 = 41.6 Add 7 to both sides

18 a - 7 + 7 = 41.6 + 7

18 a = 48.6 Divide both sides by 18

18 a / 18 = 48.6 / 18

a = 2.7 $

o = a - 0.7 $

o = 2.7 $ - 0.7 $ = 2 $

Apple cost 2.7 $.

Orange cost 2 $.

Proff :

8 * a + 10 * o = 8 * 2.7 + 10 * 2 = 21.6 + 20 = 41.6 $