Question

1/9 of the hats sold at a local sports shop had laces.5/8 of the remainder were made of net.The rest of the hats were made of denim cloth.The shop had 81 denim hats.How many more net hats than denim hats did the shop have?​

Answer 1

Given:–

• Part of hats sold at local sports shop = 1/9
• Part of remainder made of net = 5/8
• Number of denim hats that shop had = 81

To find:–

• Net hats more than denim hats shop have ?

Step by step explaination:–

At first let us assume the total hats be y.

Therefore,

Hats with laces would be y/9

Remaining hats would be 8y/9

Now hats made of net would be calculated by multiplying the part of remainder with remaining hats.

→ 5/8 × 8y/9

Reducing to their lowest terms.

→ 5y/9

Here now we are calculating the denim hats by subtracting y from total of hats with laces and hats of net.

→ y - (5y/9 + y/9)

Reducing to their lowest terms.

→ 3y/9

Thus,

3y/9 = 81 and value of y will be 243.

Net hats:- (5/9)243

→ 135

At last according to the question we are calculating the more hats than denim hats that shop had:-

→ 135 - 81

→ 54

Conclusion:–

More net hats than denim hats did the shop have is 54.