Create Equations (Unknowns in terms of the same variable)
Write and solve equations for the word problems:
- You go to a burger joint. A burger costs x. Fries cost .45 less than burgers. If you order 2 burgers and 3 orders of fries, and spend \$17.90, how much does a burger cost? How much do fries cost?
- At a competing burger joint, drinks cost 50 cents less than fries. Burgers cost twice as much as fries. If you order 1 burger, one order of fries, and one drink, it costs \$7.70. How much does a burger cost? How much do fries cost? How much do drinks cost?
- James and Richie took a math test. Richie scored twice as many points as James did. Together, they got 117 points. How many points did Richie score? How many points did James score?
- James, Richie, and Naseeha all took the same science test. James score 3 times as many points as Richie did. Nasheeha scored 4 more points than James did. All together, they scored 235 points. How many points did James get? How many points did Richie get? How many points did Naseeha get?
- Bella and Mimi collect trading cards. Mimi has 5 fewer than 3 times as many cards as Bella does. If Mimi has 47 cards, how many cards does Bella have?
- Khizar and Umar are playing basketball. Umar scores 6 more than 4 times as many points as Khizar does. Together they scored 76 points. How many points does Khizar score? How many points does Umar score?
- Anthony, Dylan, and Kevin are working on a group project together. Anthony answers half as many questions as Kevin does. Kevin answers 8 fewer questions than Dylan does. If there are 38 questions on the project. How many did Anthony, Kevin, and Dylan each answer?
- After they finished their project, Anthony, Dylan, and Kevin went out to get lunch. They each bought a sandwich. Dylan's sandwich cost \$1 more than Kevin's sandwich. Anthony's sandwich cost 85 cents less than Kevin's sandwich. They each got a drink for \$2 each. If they split the cost evenly, and each paid \$7.05, how much did each boy's sandwich cost?