Given:
The original selling price of a shirt was $45.
In a sale, the shirt is reduced to $32.50.
To find:
The percentage reduction.
Solution:
We know that,
On further simplification, we get
Therefore, the percentage reduction is 27.78%.
When all the variables cancel out in an equation, how do you know if there are no solutions or infinite solutions?
1 answer:
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9514 1404 393
Answer:
30 small chairs and 24 large chairs
Step-by-step explanation:
Let x and y represent the numbers of small chairs and large chairs built in a day. Then the relations for using available time are ...
20x +50y = 30×60
60x +90y = 66×60
Removing common factors, these can be written in standard form as ...
2x +5y = 180
2x +3y = 132
Subtracting the second equation from the first gives ...
2y = 48
y = 24 . . . . . divide by 2
Using the first equation to find x, we have ...
2x +5(24) = 180
2x = 60 . . . . . . . . . . subtract 120
x = 30 . . . . . . . . divide by 2
The company can build 30 small chairs and 24 large chairs in a day.
