Two bottles of water and three small bags of fruit cost a total of £2.55. If a bottle of water costs 15p more than a bag of fruit, what is the cost of a bag of fruit?

The cost of a bag of fruit is 45p

Step-by-step 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)

add an image !

step-by-step explanation:

boxplot e is the answer