Cody bought 2 pair of gloves and 4 hats for $43. tori bought 2 pairs of gloves and 2 hats. find the prices of the gloves and hats.

Question:

At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two hats for $30.00. What were the prices for the gloves and hats?

Price of one pair of gloves is $ 8.5 and price of 1 hat is $ 6.5

Solution:

Let "g" be the price of one pair of gloves

Let "h" be the price of 1 hat

Cody bought 2 pair of gloves and 4 hats for $43

Therefore, we frame a equation as:

2 x price of one pair of gloves + 4 x price of 1 hat = 43

2g + 4h = 43 ----------- eqn 1

Tori bought two pairs of gloves and two hats for $30.00

Therefore, we frame a equation as:

2 x price of one pair of gloves + 2 x price of 1 hat = 30

2g + 2h = 30

Divide by 2

g + h = 15

g = 15 - h ----------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

2(15 - h) + 4h = 43

30 - 2h + 4h = 43

2h = 43 - 30

2h = 13

Substitute h = 6.5 in eqn 2

g = 15 - 6.5

Thus price of one pair of gloves is $ 8.5 and price of 1 hat is $ 6.5

translate k to n and reflect across the line containing jk.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: