A library has two racks whose capacity ratio is 1 ∶ 2 and contains Engineering and Finance books only. The ratio of total Engineering and Finance books in two racks together is 2 ∶ 3 and the ratio of total Engineering and Finance books in smaller rack is 4 ∶ 5, then find the ratio of total Engineering and Finance larger rack.
Answers
Answer:
is it from book or any other source
Answer:
Suppose total books in two racks = 270
Since the ratio of capacity of racks is 1 ? 2;
∴ Number of books in smaller rack = 1/3 × 270 = 90
Number of books in larger rack = 2/3 × 270 = 180
Since the ratio of total Engineering and Finance books in two racks together is 2 ? 3;
∴ Number of Engineering books in two racks together = 2/5 × 270 = 108
Number of Finance books in two racks together = 3/5 × 270 = 162
Since the number of books in the smaller rack is 90 and the ratio of total Engineering and Finance books in smaller rack is 4 ? 5;
∴ Number of Engineering books in smaller rack = 4/9 × 90 = 40
Number of Finance books in smaller rack = 5/9 × 90 = 50
∴ Number of Engineering books in larger rack = 108 - 40 = 68
Number of Finance books in larger rack = 162 - 50 = 112
∴ Required ratio = 68 ? 112 = 17 ? 28