# if a medium pizza costs \$5 and a large pizza is \$8 write an equation in standard from that modelsthe possible combinations if you have \$40 let (m=medium&l=large)? & if you brought only...

if a medium pizza costs \$5 and a large pizza is \$8 write an equation in standard from that modelsthe possible combinations if you have \$40 let (m=medium&l=large)? & if you brought only medium pizzas in problem one how many could you purchase? & if you brought 4 medium pizaas in problem one how many large pizzas could you purchase?

aruv | High School Teacher | (Level 2) Valedictorian

Posted on

if a medium pizza costs \$5 and a large pizza is \$8 write an equation in standard from that modelsthe possible combinations if you have \$40 let (m=medium&l=large)? & if you brought only medium pizzas in problem one how many could you purchase? & if you brought 4 medium pizaas in problem one how many large pizzas could you purchase?

The cast of medium size pizza= \$5

The cost of large size pizza=\$8

Let  M medium size and L large size pizza  brought , then

`5M+8L<=40`                   (i)

Case when only  medium pizza brought

`5xxM+8xx0<=40`

`5M<=40`

`M<=40/5`

`M<=8`                             (ii)

Case when medium pizzas brought 4

`5xx4+8L<=40`

`20+8L<=40`

`8L<=20`

`L<=20/8`(iii)

Since either you brought or not brought ,therefore L can not be negative. Pizza not sold in fraction e.g  half pizza etc..therefore   L=2 .