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sesenic [268]
3 years ago
10

Alan has 80% more stamps than Billy. Billy has 3/5 of the number of Charlies stamps. If Billy gave 150 stamps to Charlie, then C

harlie would now have three times the number of Billys remaining stamps. What is the total number of stamps they have altogether?
Mathematics
1 answer:
vovangra [49]3 years ago
6 0
A=alan
b=billy
c=charlie

a is 80% more than charlie means that a is 100% and billy=20%, so 20% of alan=billy
0.2a=c

b has 3/5 of c
b=3/5c

if b-150 and c+150, (c+150)=3 times (b-150)
luckily we can related c and b
b=3/5c
c+150=3(3/5c-150)
distribute
c+150=9/5c-450
add 450 both sides
c+600=9/5c
minus c both sides
600=4/5c
times 5/4 both sides
750=c

charlie has 750 stamps
billy=3/5 times c
b=3/5 times 750
b=450
allan has 80% more than billy
0.2a=b
0.2a=450
divide both sides by 0.2
a=2250

b=450
a=2250
c=750
add them
a+b+c=2250+450+750=3450 stamps
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Length of AB is 18

Step-by-step explanation:

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sin 60 = opposite side/hypotenuse = 9√3/x

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What is 2.125 as a fraction?
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2.125 = 17/8 = 21/8 as a fraction


Step by Step Solution

To convert the decimal 2.125 to a fraction follow these steps:


Step 1: Write down the number as a fraction of one:


2.125 = 2.125/1


Step 2: Multiply both top and bottom by 10 for every number after the decimal point:


As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,


2.125/1 = (2.125 x 1000)/(1 x 1000) = 2125/1000.


Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(2125,1000) = 125. So,


(2125÷125)/(1000÷125) = 17/8 when reduced to the simplest form.


As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 2125/1000 is also equal to 2 1/8 when expressed as a mixed number.


Hope that helps feel free to ask me questions

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Step-by-step explanation:

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The answer you are looking for is 124.

You can find this answer by simply multiplying 62 by 2.

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