4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

Q: 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

Let the required number of bottles be x More weavers, More mats (Direct Proportion) More days, More mats (Direct Proportion) Wavers 4 : 8 ] :: 4 : x Days 4 : 8 ∴ 4 x 4 x x = 8 x 8 x 4 ⟹ x = (8 x 8 x 4) (4 x 4) ⟹ x = 16.

4
8
12
16

Correct Answer: 16

Explanation:

Let the required number of bottles be x

More weavers, More mats (Direct Proportion)

More days, More mats (Direct Proportion)

Wavers	4	:	8	]	:: 4 : x
Days	4	:	8	]	:: 4 : x

∴ 4 x 4 x x = 8 x 8 x 4

⟹ x =	(8 x 8 x 4)
	(4 x 4)

⟹ x = 16.

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