1. if a medium pizza costs $5 and a large pizza is $8 write an equation in standard from that models the possible combinations if you have $40 (let m=medium , l=large). 2. if you brought only...

1. if a medium pizza costs $5 and a large pizza is $8 write an equation in standard from that models the possible combinations if you have $40 (let m=medium , l=large).

2. if you brought only medium pizzas in problem 1 then how many could you purchase?

3.if you brought 4 medium pizzas in problem 1 , how many large pizzas could you purchase?

Asked on by quddoos

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steveschoen | College Teacher | (Level 1) Associate Educator

Posted on

Hi, quddoos,

Now, these would follow a different form of an equation of a line.  The form is Ax + By = C.  C here would be the total money you have, 40.  A and B would be the cost of the pizzas, 5 and 8.  Now, here, though, x and y would change to m and L.  So, we would have 5m+8L = 40.  It has to be 5m and 8L, since 5 is the cost for a medium and L is the cost for a large.

For #2, "only mediums" would mean L = 0.  So, 5m+8*0 = 40.  Or, 5m+0 = 40.  Or, 5m = 40.  Or, m = 8.

For #3, if m = 4, then we would have 5*4+8L = 40.  So, 20+8L = 40.  Subtract 20 from each side, 8L = 20.  Divide by 8, L = 20/8 = 2.5.  So, you could get 2.5 large pizzas.  Now, this could be a question where you can't get half of a pizza.  So, then, you would round this down, where you would only be able to buy 2 entire large pizzas.

Good luck, quddoos.  I hope this helps.

Till Then,

Steve

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