Answer:
Step-by-step explanation:
4d + 3p = 53.75
2d + 7p = 61.25.....multiply by -2
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4d + 3p = 53.75
-4d - 14p = - 122.50 (result of multiplying by -2)
------------------------add
-11p = - 68.75
p = - 68.75 / -11
p = 6.25 <==== each bag of popcorn is $ 6.25
4d + 3p = 53.75
4d + 3(6.25) = 53.75
4d + 18.75 = 53.75
4d = 53.75 - 18.75
4d = 35
d = 35/4
d = 8.75 .......drinks cost 8.75
check...
2d + 7p = 61.25
2(8.75) + 7(6.25) = 61.25
17.50 + 43.75 = 61.25
61.25 = 61.25 (correct)
so the price of a bag of popcorn is $ 6.25....I went ahead and finished the whole problem just so I could check the answer
