Question

Anna and Colin together have $60. Anna has $9 more than twice Colin's amount. How much money does each have?

Answer 1

Anna has $43 while Colin has $17.

Step-by-step explanation:

• Let the amount Anna has = a

,

• Let the amount Colin has = c

Together, they have $60.

`\implies a+c=60`

Anna has $9 more than twice Colin's amount.

`\begin{gathered} \text{Twice Colin's amount=2c} \\ \$9\text{ more=2c+9} \\ \implies a=2c+9 \end{gathered}`

Substitute a=2c+9 into the first equation:

`\begin{gathered} a+c=60 \\ (2c+9)+c=60 \\ 2c+c+9=60 \\ 3c=60-9 \\ 3c=51 \\ c=(51)/(3) \\ c=17 \end{gathered}`

Next, find the value of a:

`\begin{gathered} a=2c+9=2(17)+9=34+9 \\ a=43 \end{gathered}`

Therefore, Anna has $43 while Colin has $17.