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How much cloth will be used in making 6 shirts, if each required 214 m of cloth, allowing 18 m for waste in cutting and finishing in each shirt? - Mathematics

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Question

How much cloth will be used in making 6 shirts, if each required `2 1/4` m of cloth, allowing `1/8` m for waste in cutting and finishing in each shirt?

Sum

Solution

Cloth is required in making one shirt

= `(2 1/4 + 1/8)`

= `((2 xx 4) + 1)/4 + 1/8`

= `9/4 + 1/8`

= `(18 + 1)/8`  .....[∵ LCM of 4 and 8 = 8]

= `19/8` m

∴ Total cloth required in making such 6 shirts = 6 × Cloth required in one shirt

= `19/8 xx 6`

= `(19 xx 3)/4`

= `57/4`

= `14 1/4` m

Hence, `14 1/4` m cloth will be used in making 6 shirts.

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Chapter 2: Fractions and Decimals - Exercise [Page 48]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 7
Chapter 2 Fractions and Decimals
Exercise | Q 90. | Page 48
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