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]
