A store has 2 times as many hooded sweatshirts as crewneck sweatshirts. The total
number of sweatshirts is 36. How many hooded sweatshirts does the store have?
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c = crewneck sweatshirts
c + 2c = 36
3c = 36
c = 12
To find the number of hooded sweatshirts, we can set up a system of equations based on the given information.
Let's represent the number of crewneck sweatshirts as x.
Given that the store has 2 times as many hooded sweatshirts as crewneck sweatshirts, the number of hooded sweatshirts would be 2x.
We can express the total number of sweatshirts as the sum of crewneck and hooded sweatshirts:
x + 2x = 36
Combining like terms:
3x = 36
To isolate x, divide both sides of the equation by 3:
x = 12
Now, we can find the number of hooded sweatshirts by substituting the value of x back into the expression:
2x = 2 * 12 = 24
Therefore, the store has 24 hooded sweatshirts.