t-shirts for $2 and shorts for $4. the total sales were $600. they sold four times more tshirts than shorts how many tshirts and shorts did they sell?

T-shirts: 200

Shorts: 50

Step-by-step explanation:

To solve, set up an equation using two variables to represent the number of t-shirts and shorts sold.  Let x = t-shirts sold. Let y = shorts sold.  2x + 4y = 600.    We know that x will be 4 times greater than y, so we can plug in some guesses that seem reasonable and use the equation to test our theories.  My first guess was 50 shorts, which by luck was the correct answer.  These problems can be tricky, but setting up an equation can prove to be a great help.

36°, 72°, 108°, 144°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

sum the parts of the ratio, 1 + 2 + 3 + 4 = 10 parts

Divide 360° by 10 to find the value of one part of the ratio

360° ÷ 10 = 36° ← value of 1 part of the ratio, then

2 parts = 2 × 36° = 72°

3 parts = 3 × 36° = 108°

4 parts = 4 × 36° = 144°

The 4 angles are 36°, 72°, 108°, 144°