Question

Dots sells a total of 265 T-shirts ($2) and shorts ($3). In April, total sales were $637.

How many T-shirts and shorts did Dots sell?

Answer 1

t = t-shirts sold s = shorts sold

we know the t-shirts are $2 each, so if she sold "t" amount, the value of them will be 2*t or 2t

we know the shorts are $3 each, so if she sold "s" amount, the value of them will be 3*s or 3s

the total combined value amount is $637 thus one could say \(\bf 2t+3s=637\)

we know she sold 265 total in quantity of "t" and "s"
so one can say \(\bf t+s=265\)

can you solve t+s=265 for "t"? what would that give?

Answer 2

okay so all of that makes sense, but I am unsure of how to solve t+s=265

Answer 3

well.. "isolate" t on the left-hand side
what would that give you?

Answer 4

265-s?

Answer 5

yeap, so now we know that t = 265-s

let us use that in our other equation, so \(\bf t+s=265\implies {\color{red}{ t}}=265-s
\\ \quad \\
2{\color{red}{ t}}+3s=637\implies 2({\color{red}{ 265-s}})+3s=637\)

so there, solve for , or "isolate" "s" to find how many shorts she sold

Answer 6

okay so i'm trying to figure it out:
would i do 2x265 and 2xs
which would look like:
530-2s+3s=637

Answer 7

yeap thus \(\bf 530-2s+3s=637\implies 530+s=637\implies s=637-530\)

Answer 8

okay great! so 107 shorts and 158 t-shirts, correct?

Answer 9

okay great! so 107 shorts and 158 t-shirts, correct? \(\large \checkmark\)