Question

John and Jane went to a bakery to get cookies for a party Jane brought x cookies that were $3 eahc. John bought x cookies that were on sale for $1 plus he got a small cake for $10. If both of tem spent the same amount of money, which equation shows how many cookies, x, they purchased

Answer 1

Let x be the number of cookies purchased.

(1) Jane bought x cookies that were $3 each

`3x=\text{total spent by Jane}`

(2) John bought x cookies $1 each and a small cake for $10

`1\cdot x+10=\text{total spent by John}`

Since they spent the same amount of money, we can equalize the expressions:

`\begin{gathered} 3x=x+10 \\ \end{gathered}`

Solve for x:

`\begin{gathered} 3x-x=10 \\ 2x=10 \\ x=(10)/(2) \\ x=5 \end{gathered}`

They purchased 5 cookies.

The equation that represents the situation is:

3x=x+10