A loaf of bread is cut into 2 parts in the ratio 3 : 8. If the length of longer part is 16 cm. Find the original length of the bread.
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Step-by-step explanation:
let the original length of bread be x
Total number of parts = 5 + 3 = 8
=> Length of longer part = 5/8 x
Length of shorter part = 3/8 x
According to the question
5/8x - 3/8x = 16
5-3/8x=16
2/8x=16
x=16×8/2
=>x=8×8=64cm
Therefore, actual length of bread is 64 cm.
Thus, longer part of bread :
= 5/8 x
= 5/8 × 64
= 5 × 8
= 40 cm
Therefore, the longer part of the bread is 40 cm.
Thanks!!
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