Raghu's mother wants to pack 88 sweets, 66 pencils and 44 erases into boxed for his birthday to give as return gifts to his friends. The sweets, pencils and erasers should be equally distributed among the boxes. Find the maximum number of boxes that can be packed and the number of sweets, pencils and erasers that can be packed in each box.

Foundation

Mathematics Foundation

HCF and LCM

Question

Raghu's mother wants to pack

88

sweets,

66

pencils and

44

erases into boxed for his birthday to give as return gifts to his friends. The sweets, pencils and erasers should be equally distributed among the boxes. Find the maximum number of boxes that can be packed and the number of sweets, pencils and erasers that can be packed in each box.

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To find the max number of boxes to be packed we need to find the HCF.

88 = 2 \times 2 \times 2 \times 11 66 = 2 \times 3 \times 11 44 = 2 \times 2 \times 11 H C F = 2 \times 11 = 22

22

no . of boxes are needed to be packed.

No .of sweets in each box

\frac{88}{22} = 4

No .of pencils in each box

\frac{66}{22} = 3

No .of erasers in each box

\frac{44}{22} = 2