Answer:
The cost of a bag of fruit is 45p
Explanation:
Let w be the number of water bottles.
Let f be the number of bags of fruits.
"Two bottles of water and three small bags of fruit cost a total of £2.55"
2w + 3f = 2.55
"a bottle of water costs 15p more than a bag of fruit"
w = 0.15 + f
Substitute the second formula to the first and solve.
2w + 3f = 2.55
2(0.15 + f) + 3f = 2.55
0.3 + 2f + 3f = 2.55
0.3 + 5f = 2.55
5f = 2.55 - 0.30
5f = 2.25
f = 2.25 ÷ 5
f = 0.45
Substitute to the second formula again and solve for w.
w = 0.15 + 0.45
w = 0.6
Now verify:
2w + 3f = 2.55
2(0.6) + 3(0.45) = 2.55
1.2 + 1.35 = 2.55
2.55 = 2.55 (Correct)