Question

1) Ivy, Dylan, and Tyrone shared 100 personalized pencils. Ivy received 8 more pencils than Dylan. Tyrone received twice as many pencils as Ivy. How many pencils did each child receive?

Answer 1

Number of pencils received by Dylan = 19

Number of pencils received by Ivy =
`27`

Number of pencils received by Tyrone =
`54`

Explanation:

Given:

Ivy, Dylan, and Tyrone have together 100 pencils.

Ivy has 8 more pencils than Dylan.

Tyrone has twice as many pencils as Ivy.

To find: Number of pencils received by Ivy, Dylan, and Tyrone

Solution:

Let number of pencils received by Dylan = x

So, number of pencils received by Ivy =
`x+8`

number of pencils received by Tyrone =
`2(x+8)=2x+16`

Total number of pencils with Ivy, Dylan, and Tyrone = 100

So,

`x+8+x+2x+16=100\\4x+24=100\\4x=76\\x=(76)/(4)\\ =19`

Number of pencils received by Dylan = 19

Number of pencils received by Ivy =
`19+8=27`

Number of pencils received by Tyrone =
`2(19)+16=38+16=54`