Answer:
Ms. England should buy 8 pizzas and 32 drinks.
Explanation:
Let p = the number of pizzas and d = the number of drinks. Each pizza costs $12 so the cost of all of the pizzas is ($12)*p. Each drink costs $0.50, so the cost of all of the drinks is ($0.50)*d. The total cost, then, is:
Total Cost = Cost of Pizzas + Cost of Drinks
$112 = ($12)p + (($0.50)*d
Now you buy 4 times as many drink as pizzas, so:
Number of Drinks = 4 * (Number of Pizzas)
d = 4*p
Now lets' substitute 4p in place of d in the total cost equation and solve for p:
$112 = ($12)p + ($0.50)*d
$112 = ($12)p + ($0.50)*(4p) [Substituted 4p in place of d]
112 = 12p + 2p
112 = 14p
Solve for p, the number of pizzas. Once you have p, the number of drinks is d = 4*p.
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