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1. There are 14 Cub Scouts in Troop 645. The number of scouts is 4 more than five times the number of adult leaders. Find the number of adult leaders.

 

 

2. The greater of two consecutive integers is nine more than twice the lesser integer. What are the two integers? (Enter your answers as a comma-separated list.)

 

 

3. One number is 11 less than another. If their sum is increased by eight, the result is 69. Find the numbers. (Enter your answers as a comma-separated list.)

 

 

4. Find three consecutive integers whose sum is −36. (Enter your answers as a comma-separated list.)

 

 

5. Marc just bought an SUV for $58,000. This is $7,600 less than twice what his wife paid for her car last year. How much did his wife pay (in dollars) for her car?

 Mar 27, 2020
 #1
avatar+1970 
+2

1)x=adult  leaders

14=5x+4

5x=10

x=2

 

So, there are 2 adult leaders.

 Mar 27, 2020
 #2
avatar+111330 
+1

Good job, Cal  !!!

 

 

cool cool cool

CPhill  Mar 27, 2020
 #3
avatar+1970 
+1

2)

(x+1)=2x+9

x+1=2x+9

x=8

 

Smaller number: 8

Larger number: 9

 Mar 27, 2020
 #4
avatar+1970 
+1

Thank you, Chris!

 Mar 27, 2020
 #5
avatar+1970 
+1

3) x=number

    x+11=other number

 

x+(x+11)+8=69

2x+19=69

2x=50

x=25

 

First number: 25

Other number: 36

 Mar 27, 2020
edited by CalTheGreat  Mar 27, 2020
 #6
avatar+1970 
+1

4) x=smallest number

 

x+(x+1)+(x+2)=-36

3x+3=-36

3x=-33

x=-11

 

Smallest number: -11

Second largest number: -12

Largest number: -13

 Mar 27, 2020
 #7
avatar+38 
0

whoops UwU

 Mar 27, 2020
edited by Fouth  Mar 27, 2020
 #8
avatar+1970 
+1

5)x=what his wife paid 

 

58000=2x-7600

2x=63600

x=31800

 Mar 27, 2020
 #9
avatar+38 
0

I didn't see your's sorry

 Mar 27, 2020
 #10
avatar+1970 
+1

WHEW! hope all of this helped!

 Mar 27, 2020
 #11
avatar+1970 
+1

@Fourth, it's okay! Anyone can post!

 Mar 27, 2020
 #12
avatar+38 
0

I got most of it wrong anyway -_-

Fouth  Mar 27, 2020
 #13
avatar+1970 
-1

It's okay! We're here to learn, not to get everything right :D

CalTheGreat  Mar 27, 2020

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