On Friday, Dale and Lindsay each spent $5.00 on trading cards, and they each bought one package of chewing gum. On Saturday, Lindsay and her three sisters each spent $2.00 on trading cards, and each girl bought one package of gum. Lindsay noticed that the total cost was the same on Friday and Saturday. What is the cost of a package of gum? Drag an equation to each box to show how to find the solution.
2(5+g) = 4(2+g)
now just find g
To find the cost of a package of gum, we need to setup an equation based on the given information.
On Friday, Dale and Lindsay each spent $5.00 on trading cards and bought one package of gum. So, the cost of trading cards for Dale and Lindsay would be 2 * $5.00 = $10.00.
On Saturday, Lindsay and her three sisters each spent $2.00 on trading cards and bought one package of gum. So, the cost of trading cards for Lindsay and her sisters would be 4 * $2.00 = $8.00.
Since Lindsay noticed that the total cost was the same on both days, we can set up the following equation:
$10.00 (Friday's trading cards cost) + $5.00 (Friday's gum cost) = $8.00 (Saturday's trading cards cost) + x (cost of a package of gum)
where x represents the cost of a package of gum.
Now we can solve for x:
$10.00 + $5.00 = $8.00 + x
$15.00 = $8.00 + x
To isolate x, we subtract $8.00 from both sides:
$15.00 - $8.00 = x
$7.00 = x
Therefore, the cost of a package of gum is $7.00.