Question

Vanity Fair was having a blow out sale on shorts and t-shirts. Trevor bought 12 shorts and t-shirts. The shorts were on sale for $12 each and t-shirts were $6 each. Trevor spent $102. how many shorts and t-shirts did Trevor buy? Let x= shorts and y= t-shirts.

Answer 1

shorts = 5and

t-shirts 7

Explanation:

step one:

given

Let x= shorts and y= t-shirts

Trevor bought 12 shorts and t-shirts.

x+y=12----------1

sale for $12 each and

t-shirts were $6 each

12x+6y=102---------2

the sytems of equation is

x+y=12----------1

12x+6y=102---------2

Step two:

from 1, x=12-y

put x=12-y in 2

12(12-y)+6y=102---------2

144-12y+6y=102

144-6y=102

144-102=6y

42=6y

y=42/6

y=7

put y=7 in 1

x+7=12----------1

x=12-7

x=5

shorts = 5and

t-shirts y