Multiplying One Equation to Solve Systems — Quiz Answers

The viewer calculated that the contestant answered 8 questions correctly and 12 questions incorrectly. What went wrong?

Leo had a $30 gift card to use at a coffee shop. He used the entire balance to buy regular-sized coffees, which cost $2, and large coffees, which cost $3. If he bought 13 coffees in total, how many large coffees did he buy?

To solve the system of linear equations 3 x plus 5 y is equal to 2 and 6 x plus 10 y is equal to 8 by using the linear combination method, Laura correctly multiplied the first equation by negative 2 to get negative 6 x minus 10 y is equal to negative 4 and then correctly added the equations negative 6 x minus 10 y is equal to negative 4 and 6 x plus 10 y is equal to 8 to get 0 is equal to 4 How many solutions are there to the system of equations?

Fifteen family members are coming to watch Mike play football. Tickets are $⁢8 for adults and $⁢3 for children. The family pays a total amount of $⁢95 for tickets. Let c represent the number of child tickets purchased and let a represent the number of adult tickets. Which equations can be used to represent the information in the problem? Move the correct answer to each box. Not all answers will be used.

In a small town, there are 4 times as many left-handed males as there are left-handed females, and there are 3 times as many right-handed females as there are right-handed males. There are a total of 204 males and 348 females in the town. Let x represent the number of left-handed females, and let y represent the number of right-handed males. Write a system of equations to represent the situation. What is the value of x , the number of left-handed females?

A clothing company sells slacks that are either blue or gray and pleated or non-pleated. Last month, the company sold 5 times as many pairs of blue pleated slacks as gray pleated slacks, and it sold twice as many pairs of gray non-pleated slacks as blue non-pleated slacks. If it sold 333 pairs of blue slacks and 225 pairs of gray slacks, how many pairs of blue non-pleated slacks did it sell?

A company has a 150 dollars budget to provide lunch for its 20 employees. The options are to provide either roast beef sandwiches, which cost 5 dollars apiece, or tuna sandwiches, which also cost 5 dollars apiece. The company also wants to use the entire budget. Suppose r represents the number of roast beef sandwiches it provides and t represents the number of tuna sandwiches. Which statement is correct?

Denise bought 116 ounces of beans for a bean dip. She bought both 15 -ounce cans and 28 -ounce cans, and the total number of cans she bought was 6 Which of these systems of equations can be used to determine the number of 15 -ounce cans and the number of 28 -ounce cans that she bought? Assume x represents the number of 15 -ounce cans and y represents the number of 28 -ounce cans.

Rob is a high school student taking both algebra and geometry. Last night he had 27 homework problems combined from the two classes, and he took a total of 90 minutes to do them. If each algebra problem took him 2 minutes and each geometry problem took him 5 minutes, how many algebra problems did he have for homework?

Describe a strategy for solving this system of equations using the linear combination method. 3⁢x+2⁢y=27 2⁢x+4⁢y=34 Enter your answers in the boxes.