Math Snap

STEP 1

Assumptions1. The total number of-shirts and shorts sold is244. The price of a-shirt is $3. The price of a short is$44. The total sales in April were $5845. Let the number of shorts sold be represented by$$ 6. Since the total number of items sold is244, the number of-shirts sold can be represented as $244 -$

STEP 2

We can set up two equations based on the information given. The first equation represents the total number of items sold, and the second equation represents the total sales.
$$+ (244 -) =244$$$$4 +2(244 -) =584$$

STEP 3

implify the first equation.
$$+244 - =244$$$$244 =244$$This equation is true for all values of $$, so it does not help us find a specific value for$$.

STEP 4

implify the second equation.
$$4 +2(244 -) =584$$$$4 +488 -2 =584$$$$2 +488 =584$$

STEP 5

Subtract488 from both sides of the equation to isolate $2$ on one side.
$$2 +488 -488 =584 -488$$$$2 =96$$

STEP 6

Divide both sides of the equation by2 to solve for $$.
$$=96 /2$$$$=48$$

STEP 7

Now that we have the number of shorts sold, we can find the number of-shirts sold by subtracting $$ from the total number of items sold.
$$-shirts =244 -$$

STEP 8

Plug in the value for $$ to calculate the number of-shirts sold.
$$-shirts =244 -48$$

Calculate the number of-shirts sold.
$$-shirts =244 -48 =196$$ots sold196-shirts and48 shorts.