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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

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