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?

Respuesta :

Answer:

Number of pencils received by Dylan = 19

Number of pencils received by Ivy = [tex]27[/tex]

Number of pencils received by Tyrone = [tex]54[/tex]

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 = [tex]x+8[/tex]

number of pencils received by Tyrone = [tex]2(x+8)=2x+16[/tex]

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

So,

[tex]x+8+x+2x+16=100\\4x+24=100\\4x=76\\x=\frac{76}{4}\\ =19[/tex]

Number of pencils received by Dylan = 19

Number of pencils received by Ivy = [tex]19+8=27[/tex]

Number of pencils received by Tyrone = [tex]2(19)+16=38+16=54[/tex]

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