The Vance family and the Armstrong family are seeing a movie together in the theater. At the concession stand, Mr. Vance paid $19 for 3 large popcorns and 2 large drinks that his family will share. Mrs. Armstrong bought 1 large popcorn and 1 large drink and paid $7. How much does each item cost?
3x + 2y= 19
Multiply equation 2 with 3
3x+ 3y= 21
Now subtract equation 1 from equation 3
Plug value of y in equation 2
3p + 2d = 19
p + d = 7
2p + 2d = 14
Compare with the first to see that the popcorn costs $5 and therefore the drinks are $2.
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