Question

An Apple costs the same as 2 oranges. Together, an orange and a banana coat 10 cents more than an apple. Two oranges cost 15 cents more that a banana. What is the cost for one of each fruit?

Answer 1

The cost of one apple is 50 cents and cost of 1 banana is 35 cents and cost of 1 orange is 25 cents

Solution:

Let "a" be the cost of 1 apple

Let "b" be the cost of 1 banana

Let "r" be the cost of 1 orange

Given that Apple costs the same as 2 oranges

cost of 1 apple = 2 (cost of 1 orange)

a = 2r -------- eqn 1

Together, an orange and a banana cost 10 cents more than an apple

cost of 1 orange + cost of 1 banana = 10 + cost of 1 apple

r + b = 10 + a --------- eqn 2

Two oranges cost 15 cents more that a banana

cost of 2 orange = 15 + cost of 1 banana

2r = 15 + b ----- eqn 3

Let us solve eqn 1, eqn 2 and eqn 3

From eqn 1 and eqn 3, substitute eqn 1 in eqn 3

a = b + 15 --- eqn 4

Substitute eqn 4 in eqn 2

r + b = 10 + b + 15

r = 10 + 15

r = 25

Substitute r = 25 in eqn 3

2(25) = 15 + b

50 - 15 = b

b = 35

Substitute b = 35 in eqn 4

a = 35 + 15

a = 50

Thus cost of one apple is 50 cents and cost of 1 banana is 35 cents and cost of 1 orange is 25 cents