9514 1404 393
Answer:
2.35s +5.50b = 89.50
no
10 slices
Explanation:
As with any sale, the total is the sum of the parts. We use multiplication to simplify repeated addition. If we let s represent the number of slices sold, and b represent the number of bowls sold, then the total sales were ...
2.35s + 5.50b = 89.50 . . . . . . . an equation relating slices to bowls
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Using the manager's numbers, we would get ...
2.35×8 +5.50×14 = 18.80 +77.00 = 95.80
The manager's numbers are not possible.
(If you're paying attention, you know the total cannot be a multiple of 50¢ unless the number of pizza slices is a multiple of 10.)
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We can let b=22 -s and solve for s:
2.35s +5.50(22 -s) = 89.50
-3.15s = -31.50 . . . . . . . subtract 121, simplify
s = 10 . . . . . . . . . . . . divide by the coefficient of s
10 pizza slices were sold on Tuesday.