# Maths

posted by .

Keith and Shawn each have some money. If Keith spends \$38, the ratio of the amount of money Keith has to the amount of money Shawn has will become 2:5. If Shawn spends \$38, the ratio will become 8:13. How much money does each boy have?

• Maths -

Keith's amount --- k
Shawn's amount --- s

(k-38)/s = 2/5
5k - 190 = 2s
5k - 2s = 190 (#1)

k/(s-38) = 8/13
13k = 8s - 304
13k - 8s = -304 (#2)

4(#1) - #2 ----> 7k = 1064
k = 152
back in #1
5(152) - 2s = 190
s = 570

Keith had \$152 , Shawn had \$570

## Similar Questions

1. ### Maths

The ratio of the amount of money Karen had to the amount of money Peter had was 2:5. Peter received \$75 from his mother, the ratio became 4:15. How much money did each person have at first?
2. ### Math

The amount of money Kylie spends on food to the amount she spends on gas per week is 7:4. She spends \$45 more on food than gas. How much does she spend on food?
3. ### Physics

Shawn and his bike have a total mass of 58.5 kg. Shawn rides his bike 0.54 km in 17.2 min at a constant velocity. The acceleration of gravity is 9.8 m/s^2. What is Shawn’s kinetic energy?
4. ### Math

Shawn goes to store and spends 1/3 of money on books. He spends 2/5 of the remaining money on games. He spends 1/4 of the remaining money on a DVD. He spends 1/6 of remaining money on a candy bar. He has \$15 left. How much money did …
5. ### physics

Shawn and his bike have a total mass of 51.1 kg. Shawn rides his bike 1.7 km in 10.7 min at a constant velocity. The acceleration of gravity is 9.8 m/s squared. What is Shawn’s kinetic energy?
6. ### Math

Keith spent 60% of his birthday money at Game Stop. If he spent \$36 at Game Stop, how much money did Keith receive for his birthday?
7. ### Math

Keith spent 60% of his birthday money at the game store. If he spent \$36 at the game store, how much money did Keith receive for his birthday?
8. ### physics

Shawn and his bike have a total mass of 57.1 kg. Shawn rides his bike 1.3 km in 14 min at a constant velocity. The acceleration of gravity is 9.8 m/s 2 . What is Shawn’s kinetic energy?
9. ### Math

Keith spent 60% of his money at game spot. If he spent \$36 at game spot, how much money did Keith receive for his birthday?
10. ### Maths

A school spends a quator of it's money on books and a third on salaries. If the school spends a fifth of the remainder on transport, the remainig amount was sh.40,000. How much money did the school have at first?

More Similar Questions