Question

Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes. What is the largest number of groups she can have?
A. 13
B. 11
C. 8
D. 4

Answer 1

Given :-

• Miki has 104 nickels and 88 dimes.
• She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes.

To Find :-

What is the largest number of groups she can have ?

A. 13

B. 11

C. 8

D. 4

Solution :-

To find the largest number of group that has same number of nickels and the same number of dimes , we have to find Highest common factor (HCF) of given number of nickels and dimes..

So,

Prime factors of 104 and 88 :-

→ 104 = 2 * 2 * 2 * 13

→ 88 = 2 * 2 * 2 * 11

→ HCF( Common Factors of Both) = 2 * 2 * 2 = 8 .

Therefore, the largest number of groups she can have is 8.

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