Question

Two families had a garage sale together. The entire garage sale bought in $1,640. One family made $182 more than twice as much as the second family. How much did each family make at the garage sale?

Answer 1

Answer:

One family made $1,154 and the other family made $486.

Step-by-step explanation:

Let be "f" the amount of money (in dollars) one of the families made at the garage sale and "s" the amount of money (in dollars) the second family made at the garage sale.

Set up a system of equations:

$\left \{ {{f+s=1,640} \atop {f=2s+182}} \right.$

You need to use the Substitution Method to solve this system of equations:

1. Substitute the second equation into the first equation.

2. Solve for "s".

Then:

$2s+182+s=1,640\\\\3s=1,458\\\\s=\frac{1,458}{3}\\\\s=486$

3. Substitute the value of "s" into the second equation and then evaluate in order to find the value of "f". This is:

$f=2(486)+182\\\\f=1,154$