1. 2/3 of Shayn's money is equal to 4/5 of Micah's money. If Shayn gives $240 to Micah, they will each have the same amount of money. How much money does Shayn have? How much money do both Shayn and Micah have?2. In a learning center, each student had either 1 book or 2 books to read in a weekend. If the ratio of the number of pupils to the number of books borrowed by the pupil was 5:8, what fraction of the pupils had 2 books each?

Question

BUD14Z · Accepted Answer

1. Shayn's money = $ 2880

Shayn's + Micah's money = 5280

2.3 fraction , or 3 of five students

Penjelasan dengan langkah-langkah:

1. let's say their money

s = Shayn's moneys

m = Micah's money

$\frac{2s}{3} = \frac{4m}{5} \\ 10s = 12m \\ m = \frac{10s}{12} \\ = \frac{5s}{6}$

$\frac{5s}{6} + 240 = \frac{1}{2} \times \frac{11s}{6} \\ 240 = \frac{11s}{12} - \frac{5s}{6} \\ 240 = \frac{11s - 10s}{12} \\ 240 = \frac{s}{12} \\ s = 240 \times 12 \\ = 2880$

$s + m = \frac{11}{6} \times 2880 \\ = 5280$

2. 8 - 5 = 3

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1. 2/3 of Shayn's money is equal to 4/5 of

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