A shop sells a party hat at x dollars and a mask y dollars. On a particular morning, 3 hats and 4 mask were sold for $27. In the afternoon, 3 hats and 6 mask were sold for $33. Find the cost of each hat and each mask.

Each hat cost = $5

Each mask cost = $3

Step-by-step explanation:

Hat = x dollars

Mask = y dollars

Now,

3 hat and 4 mask sold = $27

We can write:

3x + 4y = 27

Then,

3 hat and 6 mask sold = $33

We can write:

3x + 6y = 33

Adding 2nd equation with (-1 times 1st equation) gives us:

3x + 6y = 33

-1 * (3x + 4y = 27)

3x + 6y = 33

-3x -4y = -27

2y = 6

y = 6/2

y = 3

Now we replace y = 3 into 1st equation and solve for x:

3x + 4y = 27

3x + 4(3) = 27

3x + 12 = 27

3x = 15

x = 15/3

x = 5

Each hat cost = $5

Each mask cost = $3

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.