Question

Bam and his sister Kate are collecting coins. Kate has collected 6 more than twicethe number of coins Bam has collected. If Bam collected x coins, and they collected14 coins in all, which equation models this situation?

Answer 1

Bam has collected x coins.

It is given that Kate has collected 6 more than twice the number of coins Bam has collected so Kate has collected 2x+6 coins.

Total number of coins is 14 so the equation that models the situation is as follows:

$\begin{gathered} x+2x+6=14 \\ 3x+6=14 \end{gathered}$

The equation is 3x+6=14.