Problem Solving

1-
The length of the edge of a cube is increased by 3 to yield a cube of volume 343. What was the original length of the edge of the cube?
a) 4
b) 5
c) 6
d) 7
e) 8

2-
Angel, Tim, and Evangeline decide to buy a $400 television. If Angel pays $20 more than Evangeline, and Tim pays twice as much as Angel, how much does Evangeline spend on the television?
a) $ 45
b) $ 65
c) $ 75
d) $ 85
e) $ 105

3-
Alan, Jennie, and Samuel decide to buy a fish tank together. Alan agrees to pay three times as much as Jennie, while Samuel pays $90 less than Alan. If they had decided to each pay the same amount, Samuel would have spent $20 less than he does. How much does Jennie pay for the fish tank?
a) 120
b) 138
c) 150
d) 270
e) 360

4-
Rafa, Roger, and Andy agree to buy a tennis court. Roger agrees to pay 25% more than Andy, and Rafa agrees to pay twice as much as Roger and Andy combined. If the tennis court costs a total of $29,700, how much does Roger pay?
a)$ 4,400
b) $ 5,500
c) $ 9,900
d) $ 10,000
e) $ 19,800