5. Priya mixes 2..5 cups of water with 1/3 cup or orange juice concentrate. Diego mixes 1 2/3 cups of water with 1/4 cup or orange concentra

Question

5. Priya mixes 2..5 cups of water with 1/3 cup or orange juice concentrate. Diego mixes 1 2/3 cups of water with 1/4 cup or orange concentrate. How much concentrate should Diego mix with 100 cups of water to make juice that tastes the same as their original recipe?

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Nho 5 months 2021-08-09T06:24:12+00:00 1 Answers 28 views 0

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    2021-08-09T06:25:19+00:00

    Priya needs 13⅓ cups of orange juice

    Diego 15 cups

    Step-by-step explanation:

    ……………………………………………………………………………………………………….

    Priya

    ……………………………………………………………………………………………………….

    Cup of water = 2½

    Cup of orange = ⅓

    If 2½ cups of water requires ½ cup of orange juice concentrate

    Then 100 cups of water would require x cup of orange

    Representing the above statement mathematically

    2½ : ⅓ = 100 : x

    5/2 : 1/3 = 100 : x ——————Convert ratio sign to division

    5/2 ÷⅓ = 100/x

    5/2 * 3 = 100/x

    15/2 = 100/x —————Multiply both sides by x

    15/2 * x = 100/x * x

    15x/2 = 100 —————— Multiply both sides by 2

    2 * 15x/2 = 2 * 100

    15x = 200 ————— Divide both sides by 15

    x = 200/15

    x = 13⅓

    So, 13⅓ cups of orange is needed by Priya

    ……………………………………………………………………………………………………….

    Diego

    ……………………………………………………………………………………………………….

    Cup of water = 1⅔

    Cup of orange = ¼

    If 1⅔ cups of water requires ¼ cup of orange juice concentrate

    Then 100 cups of water would require x cup of orange

    Representing the above statement mathematically

    1⅔:¼ = 100:x

    5/3 : ¼ = 100:x

    5/3 ÷¼ = 100 ÷ x

    5/3 * 4/1 = 100 ÷ x

    20/3 =100/x———————– Multiply x to both sides

    20/3 * x = 100/x * x

    20x/3 = 100 ———————— Multiply 3 to sides by 3

    3 * 20x/3 = 100 * 3

    20x = 300 ————- Divide both sides by 2

    20x/20 = 300/20

    x = 15

    So, 15 cups of orange is needed by Diego

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