A clothing store has pants and shorts for sale on a ratio of 4 : 3 if there are a total of 70 pants and short available for sale, how many of those are shorts
Let's represent the ratio of pants to shorts as 4x:3x, where x is a common factor for both quantities.
Since the total number of pants and shorts available is 70, we can set up the equation:
4x + 3x = 70
Combining like terms:
7x = 70
Dividing both sides by 7:
x = 10
So, the number of shorts is 3x = 3 * 10 = <<3*10=30>>30. Answer: \boxed{30}.
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To find out how many shorts are available for sale, we need to determine the value of each part of the ratio.
Step 1: Determine the total number of parts in the ratio.
The ratio is given as 4:3, which means there are a total of 4 + 3 = 7 parts.
Step 2: Determine the value of each part.
Since there are a total of 70 pants and shorts available, each part represents 70 / 7 = 10 items.
Step 3: Calculate the number of shorts.
Since the ratio of pants to shorts is 4:3, there are 3 parts representing the shorts. Therefore, the number of shorts is 3 * 10 = 30.
So, there are 30 shorts available for sale.
To find the number of shorts available for sale, we first need to find the total number of items in the given ratio.
The ratio of pants to shorts is 4:3, which means that for every 4 pants, there are 3 shorts.
To find the total number of items, we need to add the number of pants and shorts together.
Let's call the number of pants "x" and the number of shorts "y".
According to the ratio, we can set up the equation:
4x : 3y
We also know that the total number of pants and shorts available for sale is 70. So, we can set up another equation:
x + y = 70
Now we can solve these equations simultaneously to find the values of x and y.
From the second equation, we can isolate x:
x = 70 - y
Substituting this value into the first equation:
4(70 - y) : 3y
Expanding and simplifying:
280 - 4y : 3y
To find the value of y, we need to solve for when the ratio of pants to shorts is equal to 70:
280 - 4y = 3y
Simplifying:
280 = 7y
Dividing both sides by 7:
y = 280/7 = 40
Therefore, there are 40 shorts available for sale.