Systems of Equations - word problems

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 and fifty dollar bills. Which system best represents the situation? Options: x + y = 1430
20x + 50y = 49, x + y = 49
10x + 5y = 1430 , x + y = 49
20x + 50y = 1430, x + y = 49
x + y = 1430

Back

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

Front

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

Back

$10

Front

Solve: x + y = 55, x - y = 3

Back

(29, 26)

Front

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

Back

Sugar Cookies $4
Oatmeal Cookies $8

Front

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many nickels and dimes did Dennis earn? Options: 40 nickels, 40 dimes, 52 nickels, 28 dimes, 28 nickels, 52 dimes, 30 nickels, 50 dimes

Back

28 nickels, 52 dimes

Front

The difference of a and b is 3. The sum of the variables is 13.

Back

a = 8
b = 5

Front

Which of the following is not a method for solving systems of equations?

Elimination

,

Substitution

,

Estimation

,

Graphing

Back

Estimation