The ratio of parts water to parts lemon juice in lemonade is 5:2. If quinten has 10 cups of lemon juice, how many cups of water will he need?
The question requires finding the number of cups of water he will need
Ratio of parts water to parts lemon juice in lemonade is 5:2
water = 5
lemonade = 2
Total ratio = 5 + 2
= 7
let
total quantity of Quinten = x
cups of lemon juice = ratio of lemon / total ratio × x
10 = 5/7 × x
10 = 5/7x
divide both sides by 5/7
x = 10 ÷ 5/7
x = 10 × 7/5
= (10 × 7) / 5
= 70/5
x = 14
So,
cups of water = ratio of water / total ratio × x
= 2/7 × 14
= (2 × 14) / 7
= 28/7
= 4
Therefore, cups of water needed = 4
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