Question

If 3 people can weave 168 shawls in 14 days, how many shawls will be woven by 8 people in 5 days?

• A. 153
• B. 189
• C. 127
• D. 160

Answer 1

The correct option is D

160

Number of shawls woven by 3 people in 14 days =168

Number of shawls woven by 3 people in 1 day = $\frac{168}{14}$ = 12

Number of shawls woven by 1 person in 1 day = $\frac{12}{3}$ = 4

Number of shawls woven by 8 people in 5 day = 4 $\times$ 8 $\times$ 5 = 160 shawls

Alternate Method

Let the number of shawls woven be $x$

We can represent the relation as follows

We have $\frac{x}{168}$ = $\frac{8}{3}$ $\times$ $\frac{5}{14}$

$x$ = $\frac{8\times 5\times 168}{3\times 14}$

= 160 shawls