the hudson high school softball and baseball teams each ordered pizza. softball team ordered 3 cheese and 4 pepperoni pizzas for $85. the baseball team ordered 2 cheese pizzas and 5 pepperoni pizzas for $87. what was the price of one cheese pizza.
Let variable for cheesse pizzas be c and for pepperoni pizza be p
3 c + 4 p = 85
2 c + 5 p = 87
Multiply firsts equation by 2 and second by 3 to equalise the coeficient of one of the variables.
6 c + 8 p = 170 ...............1
6 c + 15 p = 261................2
Subtract equation 1 from 2
7 p = 91
p = 13
Hence, c = 11
Answer, $13 was he price of pepperoni pizzas, and $11 was that of cheese pizzas !
Please best the solution :-)
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