Questions138
28.06.2019 •
Mathematics
Leah has 28 more marbles than dan. 1/3 of leah’s marbles is equal to 4/5 of dan’s marbles. find the number of marbles leah has.
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Ответ:
Leah has 48 marbles.
Step-by-step explanation:
Represent the number of marbles that each person has by L and D.
Leah has 28 more marbles than Dan: L = D + 28.
Then (1/3)L = (4/5)D. Here the LCD is 15, and so multiplying this equation by 15 will remove the fractions: 15(1/3)L = 15(4/5)D.
Therefore, 5L = 12D, and D = 5L/12.
Then, since L = D + 28, L = (5/12)L + 28, or
12L = 5L + 336, or
7L = 336, or
L = 336/7 = 48.
Leah has 48 marbles. That means that Dan has 20 marbles.
Ответ:
-18
Step-by-step explanation: