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.

Respuesta :

Answer:

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

Step-by-step explanation:

Gift-Wrapping Fundraiser

Plain Gifts Wrapped    Decorative Gifts Wrapped   Total Raised in dollars

10                                  9                                             47

25                                 12                                            86

16                                  12                                            68

Let's define:

x: $ charged per gift for Plain Gifts Wrapped

y:  $ charged per gift for Decorative Gifts Wrapped  

From 2nd 3rd row:

25x + 12y = 86

16x + 12y = 68

Subtracting them:

25x + 12y - (16x + 12y) = 86 - 68

9x =  18

x = 18/9 = 2

Replacing x = 2 into the first equation:

25(2) + 12y = 86

12y = 86 - 50

12y = 36

y = 36/12 = 3

Answer:

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

Step-by-step explanation:

B on edg