Question

18. The equations 6x + 5y 300 and 3x + 7y = 285

represent the
money collected from selling gift
baskets in a school fundraising event. If x represents
the cost for each snack gift basket and y represents
the cost for each chocolate gift basket, what is the
cost for each chocolate gift basket?
A) $20 B) $25 C) $30 D) $54
PLS HELP ME ASAP! ​

Answer 1

Answer: The cost for each chocolate gift basket is b)$25.

Explanation:

Hi, the correct equations are:

6x + 5y =300

3x + 7y = 285

So, if we multiply the second equation by 2, and subtract the first equation to the second equation:

6x +14 y= 570

-

6x +5y =300

_________

9y = 270

Solving for y:

y = 270/9

y = 30

Substituting y=30 on any equation:

6x + 5y =300

6x + 5(30) =300

Solving for x (cost for each chocolate gift basket)

6x+150 =300

6x =300-150

6x = 150

x =150/6

x = $25