alexis and martin helped the school set chairs in rows for an asembly . they put the same number of chairs in each row. using 92 chairs avalible , alexis made 4 ows with 2 chairs left over while martin made 5 rows with no chairs left over .

a let c represent the number of chairs in each row . write an equation that can be used to find c.
b solve
c alexis and martin are asked to remove 2 chairs from each row . then how many of th 92 chairs were not used for the assembly

Your answer is 2r

a) Let's represent the number of chairs in each row as "c".

According to the information given:
Alexis made 4 rows with 2 chairs left over, so the total number of chairs he used would be 4c + 2.
Martin made 5 rows with no chairs left over, so the total number of chairs he used would be 5c.

b) We know that the total number of chairs used by Alexis and Martin should be equal to the total number of chairs available. So we can set up an equation:

4c + 2 + 5c = 92

Simplifying the equation, we get:
9c + 2 = 92

Now, we can solve for c:
9c = 92 - 2
9c = 90
c = 90/9
c = 10

c) If Alexis and Martin remove 2 chairs from each row, the new number of chairs in each row would be (c - 2).

So, the total number of chairs not used for the assembly would be:
92 - (4 * (c - 2)) - (5 * (c - 2))

Replacing c with 10, we can find the answer:
92 - (4 * (10 - 2)) - (5 * (10 - 2))
92 - (4 * 8) - (5 * 8)
92 - 32 - 40
= 20

Therefore, 20 of the 92 chairs were not used for the assembly.

a) Let's break down the information given in the problem:

1. Alexis made 4 rows with 2 chairs left over.
2. Martin made 5 rows with no chairs left over.
3. The total number of chairs available is 92.

Let's represent the number of chairs in each row as 'c'.

Based on the information given, we can create the following equations:

1. For Alexis: 4c + 2 = 92
- Since Alexis made 4 rows with 2 chairs left over, the equation represents the total number of chairs used by Alexis (4c) plus the 2 chairs left over, equaling the total number of chairs available (92).

2. For Martin: 5c = 92
- Since Martin made 5 rows with no chairs left over, the equation represents the total number of chairs used by Martin (5c) equaling the total number of chairs available (92).

b) To solve the equations:

1. For Alexis: 4c + 2 = 92
Subtract 2 from both sides: 4c = 90
Divide both sides by 4: c = 22.5

However, since we cannot have a decimal number of chairs, we need to round it to the nearest whole number:
Therefore, c = 23.

2. For Martin: 5c = 92
Divide both sides by 5: c = 18.4

Again, rounding it to the nearest whole number, c = 18.

c) If Alexis and Martin are asked to remove 2 chairs from each row, then the total number of chairs used for the assembly would decrease.

From part b), we found that Alexis had c = 23, and Martin had c = 18.

To find the number of chairs not used for the assembly, we calculate:
((4 * (23 - 2)) + (5 * (18 - 2))) - 92

- We multiply 4 (number of rows Alexis made) by (23 - 2) (number of chairs in each row minus 2 chairs removed).
- We multiply 5 (number of rows Martin made) by (18 - 2) (number of chairs in each row minus 2 chairs removed).
- We subtract the total number of chairs used from 92, the total number of available chairs.

Calculating this equation, we find that 32 of the 92 chairs were not used for the assembly.

(4c+2)+(5c) = 92

9c + 2 = 92
9c = 90
c = 10
So there are 10 chairs in each row

Alexi set up a total of 42 chairs including the extra 2.
Martin set up a total of 50 chairs.

42-(2*4) + 50-(2*5) = ??
92 - 18 = ???