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

Answer:

Number of pencils received by Dylan = 19

Number of pencils received by Ivy = $27$

Number of pencils received by Tyrone = $54$

Step-by-step 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,

$x+8+x+2x+16=100\\4x+24=100\\4x=76\\x=\frac{76}{4}\\ =19$

Number of pencils received by Dylan = 19

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

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