SOLUTION: A family purchased 6 pizzas and 4 pitchers of soda for $114. Another family purchased 9 pizzas and 7 pitchers of soda for $175.50. How much for each pizza and soda?
Algebra.Com
Question 1003212: A family purchased 6 pizzas and 4 pitchers of soda for $114. Another family purchased 9 pizzas and 7 pitchers of soda for $175.50. How much for each pizza and soda?
Found 2 solutions by fractalier, josmiceli:
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Let the prices of pizza and soda be x and y. Then we have
6x + 4y = 114
9x + 7y = 175.5
Multiply the top equation by three and the bottom one by two and subtract them...we get
18x + 12y = 342
-(18x + 14y = 351)
and
-2y = -9
y = $4.50
Substituting in to the first equation we get
6x + 4(4.50) = 114
6x + 18 = 114
6x = 96
x = $16.00
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
-------------------
(1)
(2)
----------------------
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)
-----------------------
and
(1)
(1)
(1)
(1)
Pizzas are $16 ea
Sodas are $4.50 ea
RELATED QUESTIONS
A family purchased 6 pizzas and 4 pitchers of soda for $114. Another family purchased 9... (answered by fractalier)
A family purchased 6 pizza's and 4 pitchers of soda for 114.00. Another family purchased... (answered by josgarithmetic)
Last week a softball team ordered three pizzas and two pitchers of soda after a game, and (answered by jorel555)
a softball team ordered 3 pizzas and 2 pitchers of soda the bill was $41.00 the next... (answered by solver91311)
Mrs. Jones is celebrating Gauss's birthday by having a pizza party for her two algebra... (answered by stanbon)
Ms Jones orders 3 pizzas and 3 bottles of soda for $23.34 for her 2nd period class. She... (answered by greenestamps,josgarithmetic)
At Pete’s Pizzeria, a pizza costs $6 and a soda costs 75¢. What is the total cost of 2... (answered by mananth)
a baseball team has 3 catchers, 9 pitchers, 6 infielders, and 7 outfielders. in how many... (answered by Boreal)
you have $50 to spend on a party. Pizzas cost $10 each, ships cost $2 per bag , and soda... (answered by Edwin McCravy)