Question

The math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a decorative wrapping with bows. The table represents the money raised over a busy shopping weekend.

A 3-column table titled Gift-Wrapping Fundraiser has 3 rows. The first column is labeled Plain Gifts Wrapped with entries 10, 25, 16. The second column is labeled Decorative Gifts Wrapped with entries 9, 12, 12. The third column is labeled Total Raised in dollars with entries 47, 86, 68.
Which statement describes the amounts the team charged for wrapping gifts?

The team charged $1 to wrap a gift with no bow and $2 to wrap a gift with a bow.
The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.
The team charged $3 to wrap a gift with no bow and $4 to wrap a gift with a bow.
The team charged $4 to wrap a gift with no bow and $5 to wrap a gift with a bow.

Answer 1

Let x = price for a plain wrap and y = price for a decorative wrap. From the second and third rows:

25x + 12y = 86
16x + 12y = 68

Subtract the second equation minus the third: 9x = 18, so x = 2.
Plugging back: 16(2) + 12y = 68 → 32 + 12y = 68 → 12y = 36 → y = 3.

So they charged $2 for a plain wrap and $3 for a decorative wrap.