Maria and Farida had 250 beads altogether. After Maria used 18 beads to make a bracelet and Farida gave away 2/5 of her beads, they have the same number of beads left. How many beads did Maria have at first?

Question

Mathematics

Emilee Macdonald

31 July, 13:20

Maria and Farida had 250 beads altogether. After Maria used 18 beads to make a bracelet and Farida gave away 2/5 of her beads, they have the same number of beads left. How many beads did Maria have at first?

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Answers (1)

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Adyson Anthony · Answer 1

M + f = 250;

m - 18 = (3 / 5) f;

5m / 5 - 90 / 5 = 3f;

5m - 90 = 3f;

5m - 3f = 90;

But, f = 250 - m;

5m - 3 (250 - m) = 90;

5m - 750 + 3m = 90;

8m = 840;

m = 840 : 8;

m = 105 (beads for Maria);

f = 250 - 105;

f = 145 (beads for Farida);