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18 March, 09:46

Sara is mixing together a fruit punch for a party. She's made 6 gallons of punch with a mixture of 50% juice. Her mother tells her to change it to a mixture of 70% juice. How much fruit juice should be added to make the mixture 70% fruit juice (round to the nearest hundredth) ?

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  1. 18 March, 10:20
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    x = 1.5 gallons.

    Step-by-step explanation:

    Let x = the required number of gallons of pure juce (100% juice) to be added to the 6 gallons of 50% juice mixture.

    0.5 (6) + x = 0.6 (x+6) Simplify.

    3+x = 0.6x+3.6 Subtract 0.6x from both sides.

    3+0.4x = 3.6 Subtract 3 from both sides.

    0.4x = 0.6 Finally, divide both sides by 0.4

    x = 1.5 gallons.
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