Problem Solving with Systems Answers

The monthly texting plan of All Star Cell is $11 per month and $0.25 per text. The monthly texting plan of Top Line Cell is $14 per month and $0.15 per text. A student wants to set up a system of equations to find the number of texts for which the total monthly cost of the two companies is the same. He uses the variables x and y. He lets y represent the total monthly cost. What will x represent?

Company A sells hats for $11 per hat plus a fixed $7 shipping and handling fee. Company B sells hats for $8 per hat plus a fixed $16 shipping and handling fee. The marketing director of company A wants to set up a system of equations to find the number of hats for which the total cost of an order for the two companies is the same. He uses the variables x and y. He lets y represent the total cost of an order. What will x represent?

Aeva is selling friendship pins as a service project. Each pin with green beads sells for $3. Each pin with red beads sells for $2. She raised $312. The number of pins with green beads is 11 fewer than the number of pins with red beads. How many red pins did Aeva sell?