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Please help me to answer these questions!! Thank you in advance.

1 - A string is cut into three pieces in the ratio 5 : 4 : 2. If the longest piece of string is 87 cm longer than the shortest piece of string, find the length of the string before it is being cut.

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2- A bookstore sold fiction books, textbooks and workbooks last month in the ratio 6 : 5 : 9 respectively. If the store sold 1350 workbooks, what was the total number of fiction books and textbooks sold that month??

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1 Answer

1 vote
1.
5u - 2u = 3u (diff. between longest and shortest)
3u = 87cm
1u = 87cm ÷ 3 = 29cm
5u + 4u + 2u=11u
11u = 11 x 29cm = 319cm

Ans: 319cm

2.
9u = 1350
1u = 1350 ÷ 9 = 150
6u + 5u = 11u
11u = 11 x 150 = 1650

Ans: 1650


User Mohamed Irshad
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