SOLUTION: A sporting goods store sold twice as many T-shirts as shorts. Tshirts are $9 each and shorts are $14.The total amount sold is $256.How many were sold of each?
2(9T)+14S=256.
Question 9845: A sporting goods store sold twice as many T-shirts as shorts. Tshirts are $9 each and shorts are $14.The total amount sold is $256.How many were sold of each?
2(9T)+14S=256. Answer by prince_abubu(198) (Show Source):
You can put this solution on YOUR website! Let's deal with the shirts and shorts first. They said that they sold twice more T-shirts than shorts. This translates to . T for T-shirt, S for shorts. Say WHAT!? If there were more shirts sold, then why do the shorts get the 2 multiplied to it!? Since there are less shorts sold than shirts, as the problem says, the shorts are the ones that need to be multiplied by 2 to equal the number of shirts sold.
So, the money collected from selling shorts is . The money collected from selling shirts is . We have to add these two totals to come up with a grand total of $256.00:
<---------- Start here
<-------- We substituted 2S for T because of the relationship given to us (that there are twice more shirts than shorts). This way, we'll be solving an equation with only one variable.
<----- simplified
<------ combined like terms
<-------- There were 8 shorts sold. If there were twice more shirts, then there were 16 shirts sold.
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