1. Solving systems of equations word problems worksheet For all problems, define variables, write the system of equations and solve for all variables.
-A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. How many toppings need to be added to a large cheese pizza from Palanzio’s Pizzeria and Guido’s Pizza in order for the pizzas to cost the same, not including tax?
2. Solving systems of equations word problems worksheet For all problems, define variables, write the system of equations and solve for all variables.
-Ms. Kitts works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms. Kitts sold a total of 110 CDs over the 2 weeks. Which system of equations can be used to find l, the number of CDs she sold last week, and t, the number of CDs she sold this week?
3. Solving systems of equations word problems worksheet For all problems, define variables, write the system of equations and solve for all variables.
-The length of a rectangle is equal to triple the width. Which system of equations can be used to find the dimensions of the rectangle if the perimeter is 86 centimeters?
4. Solving systems of equations word problems worksheet For all problems, define variables, write the system of equations and solve for all variables.
-At the end of the 2000 baseball season, the New York Yankees and the Cincinnati Reds had won a total of 31 World Series. The Yankees had won 5.2 times as many World Series as the Reds. How many World Series did each team win?
5. Solving systems of equations word problems worksheet For all problems, define variables, write the system of equations and solve for all variables.
-During the National Football League’s 1999 season, Troy Aikman, the quarterback for the Dallas Cowboys, earned $0.467 million more than Deion Sanders, the Cowboys cornerback. Together they cost the Cowboys $12.867 million. How much did each player make?
1. Let x be the number of toppings added to a large cheese pizza from Palanzio's Pizzeria
Let y be the number of toppings added to a large cheese pizza from Guido's Pizza
The cost of a pizza from Palanzio's Pizzeria is 6.80 + 0.90x
The cost of a pizza from Guido's Pizza is 7.30 + 0.65y
To find the number of toppings needed for the pizzas to cost the same, we can set the two costs equal to each other:
6.80 + 0.90x = 7.30 + 0.65y
2. Let l be the number of CDs sold last week
Let t be the number of CDs sold this week
The number of CDs sold last week is 3t + 6 (6 more than 3 times the number of CDs sold this week)
The number of CDs sold this week is t
The total number of CDs sold over the 2 weeks is 110:
l + t = 110
3. Let w be the width of the rectangle
The length of the rectangle is triple the width, so the length is 3w
The perimeter of a rectangle is equal to 2 times the length plus 2 times the width, so the perimeter is 2(3w) + 2w = 86
4. Let x be the number of World Series won by the Reds
The number of World Series won by the Yankees is 5.2 times the number won by the Reds, so it is 5.2x
The total number of World Series won is 31, so x + 5.2x = 31
5. Let x be the amount earned by Deion Sanders
Troy Aikman earned 0.467 million more than Deion Sanders, so his earnings are x + 0.467
The total cost of both players is 12.867 million, so x + (x + 0.467) = 12.867