Joshua had some stamps. He gave 2/5 of them to Sam and 4/9 of the remainder to Ivan. He then gave 3/5 of the rest to Charlie and had 2/3x stamps left. If he had 190 stamps at first, find the value of x.
at start : 190 stamps
gave 2/5 of 190 to Sam, or gave 76 to Sam
leaving him with 114
gave (4/9) of 114 to Charlie , oops, that's not a whole numbers
question is flawed, can't have part of a stamp
The question IS flawed,
as can be seen by both my and "BearyScary's" attempt at solving it.
You can't have a fraction of a stamp!
Stop disliking my responses
Total : 190 stamps
Goal : find out what 2/3x is
190 ÷ 5(5 big units) = 38
38 * 3(After giving 2/5 to Sam, Joshua had 3 units left.) = 114
114 ÷ 9(Remaining 9 parts) = 38/3
38/3 * 2(After giving to everyone, Joshua has 2 parts left) = 76/3
76/3 = 2/3x
76/3 ÷ 2/3 = x
76/3 * 3/2 = x
x = 38
BearyScary, 38 is correct
To find the value of x, let's break down the problem step by step.
Step 1: Calculate the number of stamps Joshua gave to Sam.
Joshua gave 2/5 of his stamps to Sam, so we can calculate this by multiplying the total number of stamps (190) by the fraction (2/5):
Stamps given to Sam = 190 * (2/5) = 76
Step 2: Calculate the remaining stamps after giving some to Sam.
The remaining stamps after giving some to Sam can be found by subtracting the stamps given to Sam from the total number of stamps:
Remaining stamps = 190 - 76 = 114
Step 3: Calculate the number of stamps Joshua gave to Ivan.
Joshua gave 4/9 of the remaining stamps to Ivan, so we can calculate this by multiplying the remaining stamps (114) by the fraction (4/9):
Stamps given to Ivan = 114 * (4/9) = 50.2222...
Step 4: Calculate the number of remaining stamps after giving some to Ivan.
The remaining stamps after giving some to Ivan can be found by subtracting the stamps given to Ivan from the remaining stamps:
Remaining stamps = 114 - 50.2222... = 63.7777...
Step 5: Calculate the number of stamps Joshua gave to Charlie.
Joshua gave 3/5 of the remaining stamps to Charlie, so we can calculate this by multiplying the remaining stamps (63.7777...) by the fraction (3/5):
Stamps given to Charlie = 63.7777... * (3/5) = 38.2666...
Step 6: Calculate the number of stamps Joshua had left.
Joshua had 2/3x stamps left after giving some to Charlie, so we can set up the following equation:
2/3x = Remaining stamps - Stamps given to Charlie
2/3x = 63.7777... - 38.2666...
2/3x = 25.5111...
Step 7: Solve for x.
To solve for x, we can multiply both sides of the equation by 3/2:
(2/3x) * (3/2) = (25.5111...) * (3/2)
x = (25.5111...) * (3/2) * (3/2)
x = 191.3333...
Therefore, the value of x is approximately 191.3333.
Joshua had some stamps. He gave 2/5 of them to Sam and 4/9 of the remainder to Ivan. He then gave 3/5 of the rest to Charlie and had 2/3x stamps left. If he had 190 stamps at first, find the value of x.
So, 2/5 of 190 is 76
And 190-76=114
And 4/9 of 114 is 50.6666667
So now we have 63.3333333
3/5 of 63.3333333 is 38
63.3333333 - 38 = 25.3333333
I couldn't figure out the rest but I hope this helps (also I hope it's correct lol)