Answer:
apple costs $0.40 , banana costs $0.30
Explanation:
let a represent apples and b represent bananas , then
4a + 3b = 2.5 → (1)
3a + 4b = 2.4 → (2)
multiplying (1) by 4 and (2) by - 3 and adding will eliminate b
16a + 12b = 10 → (3)
- 9a - 12b = - 7.2 → (4)
add (3) and (4) term by term to eliminate b
7a + 0 = 2.8
7a = 2.8 ( divide both sides by 7 )
a = 0.4
substitute a = 0.4 into either of the 2 equations and solve for b
substituting into (1)
4(0.4) + 3b = 2.5
1.6 + 3b = 2.5 ( subtract 1.6 from both sides )
3b = 0.9 ( divide both sides by 3 )
b = 0.3
(i) one apple cost $0.40
(ii) one banana costs $0.30