Question

1. Elena bought 320 tropical fish for a museum display. She bought 7 times as many triggerfish as parrotfish. How many of each type of fish did she buy?

Which is a system of equations to model the problem if x represents the number of parrotfish Elena bought and y represents the number of triggerfish she bought?

A. x + 7y = 320
y = 7x

B. x + y = 7
y = 320x

C. x + y = 320
y = 7x

D. x−y=320
y = 7x

2. Nancy bought 360 tropical fish for a museum display. She bought 8 times as many goldfish as angelfish.

How many of each type of fish did she buy?

A. 40 angelfish, 320 goldfish

B. 160 angelfish, 200 goldfish

C. 20 angelfish, 160 goldfish

D. 320 angelfish, 40 goldfish

3. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s. What were their scores?

Which is a system of equations to model the problem if x represents Kathryn’s score and y represents Michael’s score?

A. x + y = 70
y = 2x – 425

B. x + y = 425
y = 2x – 70

C. x – y = 425
y = 2x – 70

D. x + y = 425
y = 2x + 70

4. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s.

What were their scores?

A. Kathryn: 260, Michael: 165

B. Kathryn: 150, Michael: 275

C. Kathryn: 275, Michael: 150

D. Kathryn: 165, Michael: 260

5. A collection of nickels and dimes is worth $6.10. There are 67 coins in all.

How many nickels are there?

A. 12

B. 18

C. 49

D. 55

Answer 1

5. D, Let d represent the number of dimes and n represent the number of nickel. We have been given that a collection of coins has 67 coins in all. This means that total number of nickels and dimes is 67. We can represent this information in an equation as:

Since we know that a dime is worth $0.10, so d dimes will be worth 0.10d.

A nickel is worth $0.05, so n nickels will be worth 0.05n. We are also told that the collection is worth $6.10. We can represent this information in an equation as:

We will use substitution method to solve system of linear equations. From equation (1) we will get, upon substituting in equation (2) we will get, Let us divide both sides of our equation by .

Answer 2

D

Explanation:

If im wrong, please correct me in the comments.