Pre-Algebra word problem help?

Question

I can't figure out these two problems on my homework~ Help?

Mandy and Mackenzie spent the same amount of money at the arcade. They both played the same number of games. Mandy played $0.50 games and spent $10 on refreshments. Mackenzie played $0.75 games and spent $6 on refreshments. How many games did each person play?



And:
The square and the equilateral triangle at the right have the same perimeter. Find the lengths of the sides of the square.

Square: 2x+1
Triangle: 3x-2




Could someone tell me how to write those into equations

Answer 1

for problem 1:



they both played the same number of games -- we don't know that number so call it "x". So Mandy spent "$.50x" on games and Mackenzie spent "$.75x" on games. Mandy must have spent her game money plus her refreshment money and Mackenzie did the same. Also, they both spent the same amount of money. So



Mandy's money = Mackenzie's money or

Mandy's game money plus refreshment money = Mackenzie's game money plus refreshment money. or



$.50x + $10 = $.75x + $6



now you should be able to solve for "x" or the number of games each girl played.









Problem 2:



I am assuming that 2x + 1 is the perimeter of the square and 3x - 2 is the perimeter of the triangle. If the two figures have the same perimeter then



2x + 1 = 3x - 2



If you solve for x, you will be able to find the perimeter of each shape. If you divide the perimeter by four you will get the length of the side of the square.



good luck!

Answer 2

Problem # 1.



Set the equations equal to each other letting x = number of games played



.50x +$10.00 = .75x + $6.00



Subtract .50x and $6.00 from both sides of equation:



$4.00 = .25x



$4.00 / .25 = x, x = 16



Mandy played .50(16) = 8 games



Mackenzie played .75(16) = 12 games



Problem # 2



Perimeter of Square = Perimeter of Triangle. Thus:



2x + 1 = 3x - 2

x = 3



Perimeter of a square = 7



But Perimeter of a square also = 4s



4s = 7



side = 7/4 units

Answer 3

let x = the number of games they each played



the equation comes from setting the money spent equal:

0.50x + 10 = 0.75x + 6

4 = .025x

x = 16

They each played 16 games.



For the square and the triangle, what exactly are you given? You write:

Square:2x+1, but WHAT is it? the area, side? perimeter?

same with the triangle.

IF these are the perimeters, set them = and solve:

3x-2 = 2x+1

x = 3

Square: 5

Triangle: 7

But it doesn't really make sense.