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At a mall's food court, Crystal has $\$7.50\$ to buy a meal (one entree, one drink and one dessert). The table below lists Crystal's choices and their prices including sales tax. How many distinct possible meals can she afford to buy? $\begin{array}{|c|c|c|} \hline \text{Entrees} & \text{Drinks} & \text{Desserts} \\ \hline \text{Pizza } \3.50 & \text{Lemonade } \1.50 & \text{Frozen Yogurt } \3.00 \\ \hline \text{Corn Dog } \2.50 & \text{Soda } \1.25 & \text{Cookies } \2.00 \\ \hline \text{Fish~\& Chips } \3.50 & & \\ \hline \text{Fried Rice } \4.75 & & \\ \hline \end{array}$

Jun 7, 2021

#1
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She has four options for Entrees.

She has 2 options for drinks

She has 2 options for desserts.

4*2*2=16

But some possibilities go over her budget. These are the possibilities:

P-L-FY=8

P-S-FY=7.75

F&C-L-FY=8

F&C-S-FY=7.75

FR-S-C=8

FR-S-FY=9

FR-L-C=8.25

FR-L-FY=9.25

these are 8 possibilities.

So, she has 16-8=8 distinct possible meals.

JP

Jun 7, 2021
#2
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Thank you!

Guest Jun 7, 2021