System of Equations Word Problems Day 1

Front

Equations for ticket sales: Day 1: 3 senior tickets + 1 child ticket = $38. Day 2: 3 senior tickets + 2 child tickets = $52.

Back

3s + 1c = 38, 3s + 2c = 52

Front

Equations to determine the cost of coffee from Joe's purchases: 10 cups of coffee and 5 doughnuts for $16.50; 5 cups of coffee and 10 doughnuts for $14.25.

Back

10c + 5d = 16.50; 5c + 10d = 14.25

Front

Josh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?

Back

x + y = -10
x - y = -2

Front

Caitlin has 49 bills totaling $1430, consisting of twenty dollar bills and fifty dollar bills. Which system best represents the situation?

Back

x + y = 49
20x + 50y = 1430

Front

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 

Back

x + y = 1550
y  = 4x

Front

System of equations for restaurant costs: $2.10 for 1 taco & 1 milk, $5.15 for 2 tacos & 3 milks. Variables t and m represent?

Back

t: Cost of each taco
m: Cost of each glass of milk

Front

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

Back

t + n = 54
t = 3n + 8

Front

How many solutions? Options: One Solution, No solution, Infinitely Many Solutions

Back

No solution

Front

Nancy went to the grocery store. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

Back

4x + 6y = 13
3x + 7y = 13.5

Front

The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3. Which system of equations represents the situation?

Back

x + y = 55
x - y = 3