Multi step equation

Question

You will need:

? 6 red shirts, at $10.90 each for the lighting crew
? 4 yellow shirts at $ $10.50 each for the props crew
? 5 purple shirts at $12.50 each for the make-up crew


You have $200.00 to spend on all the shirts. How many green shirts can you purchase for the ushers if
those shirts cost $11.50 each? If you spend less than your budget, how much money do you have left
over?

Answer 1

R=red, y=yellow, p=purple, g=green n=number

 

You have money left over, so $200.00 would be more than you spend altogether. 

 

200>10.90r+10.50y+12.50p+(11.50)g

 

200>10.90(6)+10.50(4)+12.50(5)+(11.50)g

 

200>65.40+42.00+62.50+(11.50)g

 

200> 169.90+(11.50)g

 

200-169.90>(11.50)g

 

30.10/11.50>g

 

2.6>g

 

You can buy 2 green shirts. To figure out how much you have left is to plug in 2:

 

30.10>11.50(2)

 

30.10>23.00

 

Subtract from the remainder to get what is left over:

 

30.10-23.00=7.10

 

$7.10 left over