Question

Jim, Dan and David share some sweets in the ratio 6:5:2. Jim gets 32 more sweets than David. How many sweets does Dan get?

Answer 1

Answer :

Dan gets 40 sweets.

Solution with Explanation :

It is given that they share sweets in the ratio 6:5:2.

Let the common factor in their ratios be 'x ' . Now,

• Jim = 6x
• Dan = 5x
• David = 2x

Also, Jim gets 32 more sweets than David.

So,

6x = 2x + 32

→ 6x - 2x = 32

→ 4x = 32

→ x = 32/4

∴ x = 8

Now,

Substitute the value of ' x ' in Dan's share.

We get,

⇒ 5 × 8

⇒ 40 sweets

Hence, Dan gets 40 sweets.

$\rule{200}2$