The Math Club has $1500 to spend on a party. The club decides to use a portion o

Question

The Math Club has $1500 to spend on a party. The club decides to use a portion of the money to reserve a banquet room and purchase door prizes. The banquet room costs $125 to reserve and the door prizes each cost $8.50. The club budgeted for the purchase of 14 door prizes. The remaining money will be used to pay for the food for the banquet. Vegetarian, beef, and chicken entree options are available at prices of $7, $10, and $9, respectively. Write an inequality representing the purchase of 8 vegetarian, 30 beef, and the rest chicken entrees that stays within the budget.

Explanation / Answer

amount used to reserve banquet room and buy door prizes =125+(8.5*14)=244 dollars

amount remaining =1500-244=1256 dollars

let number of entrees of vegetarian ,beef , chiicken are x,y,z respectively

general inequality is 7x+10y +9z <=1256

here x =8, y =30

(7*8)+(10*30) +9z <=1256

56+300+9z<=1256 is the inequality

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