SOLUTION: Amanda sews T-shirts and sweatshirts to earn money. It costs her $3 to make each T-shirt and $5 to make each sweatshirt. This month she has budgeted $150 for materials for the shir

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Question 1188971: Amanda sews T-shirts and sweatshirts to earn money. It costs her $3 to make each T-shirt and $5 to make each sweatshirt. This month she has budgeted $150 for materials for the shirts. It takes Amanda 2 hours to sew a T-shirt and 1 hour to sew a sweatshirt, but because she is booked with other projects for the month she only has 50 hours to sew the shirts.
Which system of inequalities represents this situation, where t represents the number of T-shirts and s represents the number of sweatshirts that Amanda can sew?
a) {3t+5s≤50
{2t+s≤150
b) {5t+3s≤150
{t+2s≤50
c) {3t+5s≤150
{2t+s≤50
d) {5t+3s≤50
{t+2s≤150

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
It costs her $3 to make each T-shirt and $5 to make each sweatshirt.
3t
5s
This month she has budgeted $150 for materials for the shirts.
3t%2B5s%3C=150
It takes Amanda 2+hours to sew a T-shirt and+1 hour to sew a sweatshirt, but because she is booked with other projects for the month she only has 50 hours to sew the shirts.
2t%2Bs%3C=+50
Which system of inequalities represents this situation, where t represents the number of T-shirts and s represents the number of sweatshirts that Amanda can sew?
3t%2B5s%3C=150
2t%2Bs%3C=+50
answer:
c)
{ 3t%2B5s%3C=150
{ 2t%2Bs%3C=50