Question

Peter has 45 English anf Chinese books. 4/5 of the English books and 3/4 of the Chinese books are fiction. The total number of the fiction books he has is 35. How many of the fiction book are in English.

Answer 1

Answer:

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Answer 2

Answer:

20

Step-by-step explanation:

Let E = Qty English book

Chinese book = 45-E

Total Fiction = 35

hence , ($\frac{4}{5}$ × E) + 【$\frac{3}{4}$  × (45-E)】= 35

$\frac{4}{5}$E + $\frac{135}{4}$ - $\frac{3E}{4}$ = 35

$\frac{16E}{20}$ - $\frac{15E}{20}$ = 35- $\frac{135}{4}$ = 35- 33$\frac{3}{4}$ = 700 - 675

E = 25

Fiction book in English is $\frac{4}{5}$ × 25 = 20