Question

the candy shop has two sizes of lollipops. they sell six large lollipops for every two small lollipops. yesterday the shop sold 96 lollipops. how many large lollipops were sold?

Answer 1

72

Explanation:

Given that the candy shop has two sizes of lollipops. they sell six large lollipops for every two small lollipops.

Total number of lollipops = 96

Let small lollipops sold be x then large lollipops sold be
`(6x)/(2) =3x`

Total lollipops =
`x+3x=4x`

Equate this to 96 to solve for x

`4x=96\\x=24`

Hence large lollipops sold
`= 3x =3(24) =72`

Verify:

Large lollipops sold = 72

Small sold 1/3 (72) =24

Total =96

Hence our answer is right.

Answer 2

72 large lollipops were sold

Explanation:

Step 1: Find the ratio or large to small lollipops

For every 2 small, they sell 6 large ones

Large: Small

6 : 2

Step 2: Determine how many lollipops were sold

If 72 large lollipops were sold

12 x 6 = 72

6: 2

Multiply both by 12

6 x 12 : 2 x 12

72 : 24

72+24 = 96

Therefore, 72 large and 24 small lollipops were sold.