15 points! please answer all questions

1. Choose the correct answer.

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 + y = 320
y = 7x

B.
x + 7y = 320
y = 7x

C.
x – y = 320
y = 7x

D.
x + y = 7
y = 320x

2. 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

3. David has a hose that is 27 ft long. He wants to cut it into two pieces so that the longer piece is 3 ft more than 2 times the length of the shorter piece.

How long will each piece of hose be?

Shorter piece:______ft
Longer piece:______ ft

4. Admission for a movie is $8 for children and $12 for adults. On a certain day, 3200 people attend the movie theater and $33,040 is collected.

How many children and how many adults attended the movies?

children.__?____
adults.____?____

5.A collection of quarters and dimes is worth $12.40. There are 67 coins in all.

How many of each coin are there?

quarters.___?_____
dimes.___?____