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The cost of a T-shirt was two times as much as the cost of a pair of socks. Joe bought 3 pairs of socks and 1 T-shirt for $100. Find the total cost of 1 T-shirt and 2 pairs of socks.

 Apr 9, 2021
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lets call the cost of a pair of socks $s$, and the cost of the T-shirt is $t$. we have:

$2s=t$

$3s+t=100$

we can substitute $t$ for $2s$:

$3s+2s=100=5s$

$s=\dfrac{100}5=20$

$2\cdot20=t=40$

so:

$t+2s=40+40=\boxed{\$80}$

 Apr 9, 2021
edited by SparklingWater2  Apr 9, 2021

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