At gumdrops galore candy store, Jake and his sister each fill a bag with gumdrops. Jake's bag of black gumdrops weighs 1/8 of a pound. Jake pays for both his gumdrops and his sisters' red gumdrops. In all, Jake buys 3/4 of a pink of gumdrops. He wants to know how much his sisters red gumdrops weigh.

Question

Mathematics

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29 October, 06:03

At gumdrops galore candy store, Jake and his sister each fill a bag with gumdrops. Jake's bag of black gumdrops weighs 1/8 of a pound. Jake pays for both his gumdrops and his sisters' red gumdrops. In all, Jake buys 3/4 of a pink of gumdrops. He wants to know how much his sisters red gumdrops weigh.

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Answers (1)

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Lizeth Hoover · Answer 1

5/8 of a pound

Step-by-step explanation:

Jake's amount of gumdrops is 1/8 of a pound, and the sum of Jake's amount and his sister's amount is 3/4 of a pound. Let's call the amount of gumdrops his sister got by X.

So, we have that:

(1/8) + X = 3/4

(1 + 8*X) / 8 = 6/8

1 + 8*X = 6

8*X = 5

X = 5/8

The weight of his sister's amount of gumdrops is 5/8 of a pound