# Math

posted by .

A vendor sold 1/3 of his fish balls in the afternoon and 2/5 of the remainder in the evening. If he had 150 fish balls left, find the number of fish balls he had at first?

• Math -

let the number of fish at the start be x
sold (1/3)x in the afternoon, leaving his with (2/3)x
He sold 2/5 of that leaving him with
(3/5) (2/3)x or (2/5)x

(2/5)x = 150
x = 375

check:
sell 1/3 of 375 = 125 , leaves 250
sells 2/5 of that or 100 , leaving him with 150
All is good!

• Math -

n - n/3 - 2/5 (2n/3) = 150
n - n/3 - 4n/15 = 150
(15 - 5 - 4)n/15 = 150
6n/15 = 150
2n/5 = 150
n = 375

check:
sold 1/3 of 375 = 125, leaving 250
sold 2/5 of 250 = 100, leaving 150

## Similar Questions

1. ### math

5cars 3 balls 2 fish How many more children like cars than fish 5 cars 3 balls 2 fish How many few children like fish than balls
2. ### Math for the middle school and elementary teacher

3 red balls, 4 green balls, and 5 yellow balls are in a bag. If 2 balls are drawn randomly (without replacement) find the probability that the balls are different colors. I got 47/66 that the balls are different colors...is that right?
3. ### Physics

if you had two ping pong balls (or golf balls, or tennis balls), both carrying the maximum possible positive electrical charge, and you also had insulating gloves that allowed you to pick them up without being shocked, would you be …
4. ### Biology

A trip to a different stream which had 30 fish marked at an earlier time produced 20 captured fish but none were recaptured with fish tags. Can you estimate the number of fish in this stream?
5. ### math

a box filled with identically shaped balls contains 5 balls with the number 1 on them, 8 balls with the numbers 10 on them, 15 balls with the number 12, and 2 balls with the number 20 on them. If the balls cannot be seen from outside …

tori had 20 gumballs in a bag. there were 2 red gum balls, 3 blue gum balls, 5 yellow gum balls, and 10 purple gum balls. what was the ratio of blue gum balls to total number of gum balls?
7. ### Math

A box containing 20 yellow balls, 9 red balls and 6 blue balls. If the balls are selected at random, what is the smallest number of balls that need to be selected so you will select at least two balls of each colour
8. ### math

A bag has balls of four colours - red,blue,green and pink.Half the total number of balls are pink. One-fourth of the number of green balls equals one-third of the numher of blue balls. The number of pink balls is 4 less than twice …
9. ### Math

Tom has 5 boxes of balls. Each box contains x balls. His father gives him another 8 balls. Find the total number of balls Raul has in terms of x
10. ### math

Mary has two tanks of fish. If she transfers 15 fish from the larger tank to the smaller tank then the number of fish in the smaller tank will be 5/7 of the number of fish in the large, tank. Given that there are 35 fish in the smaller …

More Similar Questions