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A jar contains 24 pennies. The pennies are taken out and divided into 2 piles. If the larger pile contains twice as many pennies as the smaller one, how many pennies are in the larger pile?

Verified Answer :

16 pennies because the smaller pile will have 8.

aachen

Answer: 16

Step-by-step explanation:

Given: A jar contains \(24\) pennies. The pennies are taken out and divided into \(2\) piles. If the larger pile contains twice as many pennies as the smaller one.

To Find: how many pennies are in the larger pile.

Solution:

Total number of pennies in the jar \(=24\)

let the number of pennies in bigger pile \(=\text{x}\)

let the number of pennies in smaller pile \(=\text{y}\)

Now,

\(\text{x}+\text{y}=24\)

as \(\text{x}=2\text{y}\)

\(2\text{y}+\text{y}=24\)

\(3\text{y}=24\)

\(\text{y}=8\)

\(\text{x}=2\text{y}\)

\(\text{x}=2\times8\)

\(\text{x}=16\)

Hence there are \(16\) pennies in larger pile.