+0  
 
+1
56
1
avatar

At davenport house of pizza the total price for 6 large pizzas plus 2 medium pizzas is 86 dollars. the total for 4 large pizzas and 3 medium pizzas is 72.75 dollars what is the price of the medium pizza

 Jan 23, 2020
 #1
avatar+122 
+1

Let x be large and y be medium, we can write the two totals as

 

6x+2y=86

4x+3y=72.75

 

Taking the first equation we can rewrite it to find an expression for x.

6x+2y=86  => 6x=86-2y    < Divide this by 6 and we have x=14.333-0,333y.

Now that we have an expression for x in terms of y, we can subsitute in the second equation as follows

 

4x+3y=72.75

4(14.33-0.33y)+3y=72.75

57.33-1.33y+3y=72.75

3y-1.33y=72.75-57.33

1.67y=15.42 => y=15.42/1.67

y=9.23

x=14.33-0.33*9.23

x=11.26

 

Note that I've rounded up to two decimals which creates a slight deviation.

 Jan 23, 2020

55 Online Users

avatar
avatar
avatar
avatar
avatar
avatar