Question

Tiana and Rachel each have a record collection. • The number of records in Tiana’s collection can be represented by x.
• The number of records in Rachel’s collection is 4 times the number of records in Tiana’s collection.
• The total number of records in both collections is 160.

What is x, the number of records in Tiana’s collection?

Answer 1

Let x= the total number of records Rachel has
First, since we now that Rachel has 4 times more records than Tiana, then 4x=160

Isolate x by dividing each side by 4. Then you get x=40

Therefore, the number of records in Tiana’s collection is 40.

I’m assuming your in 8th grade learning about linear equations.

Answer 2

Tiana: X
Rachel: 4X
Total: X + 4X = 5X

Tiana is one unit ( X ) , so find 1 X
1X = 160 divide by 5
X = 32
Tiana has 32 number of records.