the math team wraps gifts as a way to raise money for traveling to competitions. they offer two choices: a…

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. 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.

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. 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

Explanation:

Step1: Set up equations

Let (x) be the cost for plain - wrapped gifts (no bow) and (y) be the cost for decorative - wrapped gifts (with bow). From the first row of the table: (10x + 9y=47). From the third row of the table: (16x + 12y = 68). Simplify the second equation by dividing each term by (4): (4x+3y = 17), then (12x + 9y=51).

Step2: Subtract equations

Subtract the first equation ((10x + 9y = 47)) from the new - formed equation ((12x + 9y=51)): ((12x + 9y)-(10x + 9y)=51 - 47). (12x+9y - 10x - 9y=4). (2x=4), so (x = 2).

Step3: Find (y)

Substitute (x = 2) into (4x+3y = 17). (4\times2+3y=17). (8 + 3y=17). (3y=17 - 8=9), so (y = 3).

Answer:

The team charged ($2) to wrap a gift with no bow and ($3) to wrap a gift with a bow. So the second option.