Question

Combined, Tanya and Sanjay have 40 pens. If Tanya has four times as many pens as Sanjay, howmany pens does Sanjay have?A. 6B. 7C. 8D. 9E. Not enough information to tell

Answer 1

Given the question, the following are the solution steps to answer the question.

STEP 1: Represent the given statements.

Let x represent Tanya

Let y represent Sanjay

STEP 2: interpret the statement

From first statement,

`x+y=40`

From second statement,

`x=4y`

STEP 3: Find the number of pens for Sanjay

Substitute 4y for x in the first equation to have;

`\begin{gathered} x+y=40 \\ 4y+y=40 \\ 5y=40 \\ y=(40)/(5)=8 \end{gathered}`

Hence, Sanjay has 8 pens