Patty how many heels and shoes did we sell yesterday? and how much were they?
The number of heels sold was 20 less than the number of shoe. Heels were sold for $25.00 a pair and shoes were sold for $18.00 a pair
Also much money did we collect in total?
We earned $1336
So you don't know how much of each we sold?
So a system of equations problem using substitution?
Not exactly, I don't now how much we sold but, I know 2 equations that help us find out.
Heels is H and Shoes is S 25h+18s=1336 h=2s-20
So do we just solve the problems to find out how many heels and shoes we sold?
Yes! So now all we are going to do is solve the equations. Since we already have a equation solved for h we are going to plug that in to the other equation that isn't already solved for h or s.
So would it be like this? 25(2s-20)+18=1336 50s-500+18s=1336 68s-500=1336 +500 to both sides 68s=1836 68s/68= 1836/68 s=27
Yes, you just found out how much shoes we sold. But we aren't done we still need to find out how many heels we sold.We just need to plug in s in one of the equations. It doesn't mater which one. I'm juts going to plug it in for the equation already sold for h.
h=2s-20 h=2(27)-20 h=54-20 h=34
So we sold 27 pairs of shoes and 34 pair of heels. In total we sold a total of 61 pairs?