one day a store sold 21 sweatshirts. White ones cost $10.95 and yellow ones costs $13.50. In all $275.85 worth of sweatshirts were sold. How many of each color were sold

How many white sweatshirts were sold?
How many yellow sweatshirts were sold?

two angles are supplementary. One angle is 3 degrees less that twice the other.Find the measures of the angles.

what is the measure of the smaller angle
what is the measure of the other angle

X White shirts,

Y yellow shirts,
X + Y = 21 Shirts.
Y = 21 - X

Cost = 10.95x + 13.5y = 275.85,
Substitute 21 - X for Y
10.95x + 13.5(21 - x) = 275.85,
10.95x + 283.5 - 13.5x = 275.85,
-2.55x = -7.65
x = 3 = White shirts,
3 + Y = 21
y = 18 Yellow shirts.

x = 1st angle,
(2x - 3) = 2nd angle,
x + (2x - 3) = 180 Deg.
2x - 3 = 180,
3x = 183,
x = 61 Deg. = Smaller angle,

(2x - 3) = 2 * 61 - 3 = 119 Deg. =
Larger angle.

To solve this problem, we can use a system of equations. Let's define the variables:

Let W be the number of white sweatshirts sold, and
Let Y be the number of yellow sweatshirts sold.

Since a total of 21 sweatshirts were sold, we can write the first equation:
W + Y = 21 (equation 1)

Next, we can consider the cost of the sweatshirts. The cost of each white sweatshirt is $10.95, and the cost of each yellow sweatshirt is $13.50. The total value of sweatshirts sold is given as $275.85. We can write the second equation:
10.95W + 13.50Y = 275.85 (equation 2)

Now, we can solve this system of equations. There are a few methods to solve the system, but let's use the substitution method.

First, solve equation 1 for W:
W = 21 - Y

Substitute this value for W in equation 2:
10.95(21 - Y) + 13.50Y = 275.85

Now, simplify and solve for Y:
230.45 - 10.95Y + 13.50Y = 275.85
2.55Y = 45.40
Y = 45.40 / 2.55
Y ≈ 17.8

Since we can't have a fraction of a sweatshirt, we round Y to the nearest whole number. Therefore, the number of yellow sweatshirts sold is 18.

Substitute this value of Y back into equation 1 to find W:
W + 18 = 21
W = 21 - 18
W = 3

So, 3 white sweatshirts were sold and 18 yellow sweatshirts were sold.