Answer:
Number of muffins= 18
Number of beverages= 14
Amount spent on muffins= $63
Amount spent on beverages= $24.50
Step-by-step explanation:
To find the number of muffins sold, we can first assume that all the 32 items purchased were beverages.
If the class bought 32 beverages,
Total spending
= 32($1.75)
= $56
Difference in total spending
= $87.50 -$56
= $31.50
The difference in the total spending is due to the number of muffins purchased that we had assumed they were beverages.
Difference in cost for each muffin vs beverage
= $3.50 -$1.75
= $1.75
Thus, for every incorrect assumption we made, the total spending will be $1.75 lesser than the actual amount.
Sets of wrong assumption
= $31.50 ÷$1.75
= 18
This means that out of the 32 items we previously assumed to be beverages, 18 were actually muffins. The remaining number of items were indeed beverages.
Number of muffins= 18
Number of beverages
= 32 -18
= 14
Amount spent on muffins
= 18($3.50)
= $63
Amount spent on beverages
= 14($1.75)
= $24.50
Total spending
= $63 +$24.50
= $87.50