s. Mary and Asanji are selling cheesecakes for a school fundraiser. Customers ca
ID: 3281634 • Letter: S
Question
s. Mary and Asanji are selling cheesecakes for a school fundraiser. Customers can buy French Seecakes and chocolate marble cheesecakes. Mary sold 4 French silk cheesecakes and ite a system of equations to represent the situation with x representing the number of cheesecakes. 14 chocolate marble cheesecakes for a total of s302. Asanji sold 12 French silk cheesecakes and 7 chocolate marble cheesecakes for a total of $241 A. Wr i cheesecakes and y representing the number of chocolate marble 8. What is the cost of one French silk cheesecake and one chocolate marble cheesecake? 6. Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 9 senior citizen tickets and 9 child tickets for a total of S117. The school took in $94 on the second day by selling 14 senior citizen tickets and 3 child tickets. A. Write a system of equations to represent the situation with x representing the price of a senior citizen ticket and y representing the price of a child ticket. B. What is the cost of one senior citizen ticket and one child ticket?Explanation / Answer
(5)Let price of French Silk be x and chocolate marble be y
(A) Then the system of equations are
9x + 9y = 117
(Divide both sides by 9 )
=> x + y = 13 --------- (1)
and
14x +3y = 94 ----------(2)
(B) Put y = (13 - x) from (1) in (2)=>
14x + 3(13-x) = 94
=> 14x + 39 - 3x = 94
=> 11x = 94 - 39 = 55
=> x = 55/11
=> x = 5
From (1) ,
y = 13 - x = 13 - 5
=> y = 8
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