Franklin Furniture Company sells chairs for $110 each and tables for $322 each. Last month the company sold 65 items for a total of $12,450. How many chairs and how many tables did they sell?
Use same process as in previous post.
For your safety, I suggest that you do not use your full name in future. Irene is enough.
three numbers sum to 345. the first number is 87 and the second number is two more than three times the third number . what are the three numbers
To solve this problem, we can use a system of linear equations. Let's denote the number of chairs as C and the number of tables as T.
According to the given information, the total number of items sold is 65. Therefore, we can write the first equation:
C + T = 65 ---> (Equation 1)
The total sales for chairs can be calculated by multiplying the price ($110) by the number of chairs (C). Similarly, the total sales for tables is obtained by multiplying the price ($322) by the number of tables (T). The sum of these two sales should be equal to the total sales of $12,450. This forms the second equation:
110C + 322T = 12,450 ---> (Equation 2)
Now we have a system of equations. We can solve this system using various methods such as substitution or elimination.
Let's solve using the elimination method:
Multiply Equation 1 by 110 to eliminate C:
110C + 110T = 7150
Now subtract Equation 2 from the new equation:
(110C + 110T) - (110C + 322T) = 7150 - 12450
Simplifying, we get:
-212T = -5300
Dividing both sides by -212:
T = -5300 / -212 = 25
Now substitute the value of T into Equation 1:
C + 25 = 65
Simplifying, we get:
C = 65 - 25 = 40
So, Franklin Furniture Company sold 40 chairs and 25 tables.