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nordsb [41]
3 years ago
11

Steven is making some party favors for his birthday party. He has 96 cars and 80 game cards. He wants each party's favor to be t

he same, and he wants to use all of the cars and game cards. How many party favors can he make? How many cars and game cards will be in each bag?
Mathematics
1 answer:
Kaylis [27]3 years ago
5 0

Answer:

He can make 16 party favors.

There will be 6 cars in each bag.

There will be 5 game cards in each bag.

Step-by-step explanation:

96/16=6

80/16=5

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At the zoo tje ratio of snakes to lizards is 3:2 A. If there were 10 lizards ,how many snakes would be there be? B.If there were
yawa3891 [41]

Answer:

Part A) 15\ snakes

Part B) 6\ lizards

Part C) The zoo would need to get four more lizards to maintain the same proportion

Part D) 12 snakes and 8 lizards

Step-by-step explanation:

Part A) If there were 10 lizards ,how many snakes would be there be?

Let

x ---> the number of snakes

y ---> the number of lizards

\frac{x}{y}=\frac{3}{2} ----> equation A

we have that

y=10\ lizards

substitute the value of y in the equation A

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Part B) If there were 9 snakes ,how many lizards would there be?

Let

x ---> the number of snakes

y ---> the number of lizards

\frac{x}{y}=\frac{3}{2} ----> equation A

we have that

x=9\ snakes

substitute the value of x in the equation A

\frac{9}{y}=\frac{3}{2}

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Part C) If the number of snakes in the zoo is increased by 6, how many more lizards would the zoo need to get to keep the same ratio?

Let

x ---> the number of snakes

y ---> the number of lizards

\frac{x}{y}=\frac{3}{2} ----> equation A

For x=6\ snakes

substitute the value of x in the equation A

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solve for y

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The zoo would need to get four more lizards to maintain the same proportion

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Let

x ---> the number of snakes

y ---> the number of lizards

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solve the system by substitution

substitute equation A in equation B

1.5y+y=20

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2.5y=20

y=8\ lizards

Find the value of x

x=1.5(8)=12\ snakes

therefore

12 snakes and 8 lizards

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