# There are 18 cub scouts in troop 545. the number of scouts is three more than five times

There are 18 cub scouts in troop 545. the number of scouts is three more than five times the number of adult leaders. find the number of adult leaders.

## This Post Has 12 Comments

1. dani3112 says:

5x + 3 ≥ 8x +3

-3x ≥ 0

so their are infinitely many solutions

This can be displayed as a system of equations.

x = 3 + 5y

x - y = 11

Because we have a value of x we can plug it into the value of x in the second equation.

(3 + 5y) - y = 11

3 + 5y - y = 11

Combine like terms.

3 + 4y = 11

Subtract 3 from both sides.

4y = 8

Divide both sides by 4.

y = 2

Now that we have a constant value for y, we can replace the value of y in the second equation with 2 to solve for x.

x - 2 = 11

x = 13

Now, let's verify.

13 = 3 + 5(2)

13 = 3 + 10

13 = 13 √ this is correct.

13 - 2 = 11

11 = 11 √ this is correct.

The first number, or x, is equal to 13.

The second number, or y, is equal to 2.

3. pilarmonsivais says:

3 + 5x= 30+ 2x

X=9
Hope this helped

4. dubouuu says:

A certain number (x) is 3 more then 5 times another number (y)
x = 5y + 3

the difference of the 2 numbers is 11
x - y = 11

so ur system of equations is :
x = 5y + 3
x - y = 11

5. dndndndnxmnc says:

3+5x=38
-3 on both sides
5x=35
divide by 5 on both sides
x=7

6. cupkakekawaii45 says:

There are 3 adult leaders since 18-3 = 15 then 15/5= 3

7. eduardoma2902 says:

3 + 5x ≤ 8 is how this would be displayed in numbers.

To solve, we treat this like an algebraic equation.

Subtract 3 from both sides.

5x ≤ 5

Divide both sides by 5.

x ≤ 1

The value of x is less than or equal to 1 to make the inequality true.

8. hfroslie6411 says:

Let's start by defining our unknown number.

Let's call it x.

Now, Let's handle the first part of it.  3 more than five times a number.  That can be represented by the following

$3+5x$

Now we handle the second part, "Thirty more than twice the number"

Which can be represented by

$30+2x$

So, now we set them equal, since it tells us that these expressions are the same.  Then we just solve the equation

$3+5x=30+2x\\\\5x=27+2x\\\\3x=27\\\\x=9$

9. indexes06 says:

5d + 5

10. Expert says:

i need the options

step-by-step explanation:

11. Expert says:

Many things that seem threatening in the dark become welcoming when we shine light on them

12. cloudFF says:

5x+3

Step-by-step explanation: 3 more refers to addition so you are aware that 3 is the number that is being added in the equation, and 5 times refers to multiplication so you know 5 is being multiplied in the equation, which means the algebraic expression would be: 5x+3.