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linear equations with pizzas

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

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.

Oct 23rd, 2017

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 !


Mar 31st, 2015

thanks


Mar 31st, 2015

Please best the solution :-)

Mar 31st, 2015

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Oct 23rd, 2017
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Oct 23rd, 2017
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