Drinks, x, and popcorn, y. 125.50 = 12y+7x 87.50=6y+8x
To solve for the cost of drinks, x, isolate the variable 125.50 = 12y + 7x subtract 12y from both sides 125.50 - 12y = 7x divide both sides by 7 125.50/7 -12/7y = x
plug that into the other equation <span>87.50=6y+8x 87.50 = 6y + 8(125.50/7 - 12/7y) Distribute </span><span>8(125.50/7 - 12/7y) Then combine like terms then subtract and divide to isolate y</span> Solve for y y = 7.25
Plug that into the first equation to solve for x <span>125.50 = 12y+7x 125.50 = 12(7.25) + 7x 125.50 = 87 + 7x subtract 87 from both sides 38.5 = 7x divide both sides by 7 5.5 = x
There, you have the cost of the drinks, $5.5, and the cost of the popcorn, $7.25.
To check: you would plug in what you got for x and y into the original equations and see if they equal right... I did it on paper and it was right!!
