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 Charlie would now have three times the number of Billys remaining stamps. What is the total number of stamps they have altogether?

Answers

Answer 1

Answer: 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

Answer 2

Answer:

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

Related Questions

What is 5.63×10−6in decimal form?a. 0.00000563 b. 0.000000563 c.5,630,000d. 56,300,000
For a cone, if the radius was quadrupled and the slant height was reduced to 1/6 of its original size what would be the formula to find the modified surface area.
Slope and y intercept
Which function is quadratic function? a(x) = –2x^3 + 2x – 6 b(x) = 5x^3 + 8x^2 + 3 c(x) = –8x^2 + 3x – 5 d(x) = 6x^4 + 2x – 3
In order to maximize the chances that experimental groups represent the population of interest, researchers should conduct ________ and ________. blind sampling; random group assignment blind group assignment; random sampling random sampling; random group assignment blind group assignment; blind sampling

PLEASE HELPA hot air balloon is at a height of h feet.
Which expressions represent a change in height of 5 ft?
Choose exactly two answers that are correct.
A. h/5
B. 5*h
C. h+5
D. h-5
I have more questions do if you are willing to help with more than this than let me know.

Answers

Since the balloon is at h height and has a change of 5 ft that means it could go up (+5) or down (-5) ft. So the answer would be c and D

h+5 and h-5

Does the following graph represent a function?

Answers

Step-by-step explanation:

no.

in a function every x-value has exactly one associated y- value.

but this is clearly violated for x between about -4.5 and -3.5, where every x-value has 3 different associated y-values.

e.g. at x = -3, we get y = 0.5, -2 and -4.25.

Your checkbook shows a balance of $413. Your bank statement says you have $373. Assuming you are missing just one transaction, what is the amount of the transaction you are missing?

Answers

If your account shows a balance of $413 and you only have one missing transaction, with a final balance in your account of $373, then:

$413 + x = $373
x = $373 - $413
x = - $40

So, the transaction is a withdrawal (or loss) of $40.

The amount the of the transaction you are missing is exactly $40 dineros!!!

in a bag of red and green sweets,the ratio of red sweets to green sweets is 3:4. if the bag contains 24 green sweets how many red sweets are there

Answers

set this up as a proportion 3:4 to x:24 and then you cross multiply getting:

4x = 72

Now divide by 4 and you get:

x = 18

so there are 18 red sweets.

The function f(x) = 4(3)x represents the growth of a dragonfly population every year in a remote swamp. Erin wants to manipulate the formula to an equivalent form that calculates four times a year, not just once a year. Which function is correct for Erin's purpose, and what is the new growth rate?

Answers

Answer:

$f(x) = 4(1.32)^x$ function is correct for Erin's purpose and the new growth rate is 32%

Step-by-step explanation:

Growth rate function: $a(1+r)^x$ --A

where r is the rate of growth

We are given that The function $f(x) = 4(3)^x$ represents the growth of a dragonfly population every year in a remote swamp.

Now Erin wants to manipulate the formula to an equivalent form that calculates four times a year, not just once a year

So, equation becomes: $f(x) = 4(3^(1)/(4))^x$

$f(x) = 4(1.32)^x$

Now on comparing with A

1.32=1+r

0.32=r

So, New growth rate = 0.32=32%

Hence $f(x) = 4(1.32)^x$ function is correct for Erin's purpose and the new growth rate is 32%

There are 12 months a year, and if the growth is to be calculated four times a year, the interval would be every three months.

We use the variable
z as the number of 3 months per year

So,
x = z/4

Substituting, the new growth rate would be:
f(z) = 4(3)^(z/4)

Bobby borrowed 500 at 12 percent simple annual interest . he paid back $680 pay off loan . how many years did it take Bobby to pay the loan ?

Answers

Basing on the data provided, if Bobby borrowed 500.00 and has an annual interest of 12% per year. 12% of the borrowed amount is equal to 60.00. Since he paid $680.00 that means that 680.00 – 500.00 = 180.00 worth of interest and since he pays an annual of 60.00 per year for the interest ergo, the answer is 3 years.

Answer:

the answer is three years

Step-by-step explanation:

Other Questions

Which can be represented by the expression 17 – 2x?

What is the product of (2p + 7)(3p2 + 4p – 3)?A=6p3 + 29p2 – 34p + 21 B=6p3 + 29p2 – 22p + 21 C=6p3 + 29p2 + 22p – 21 D=6p3 + 29p2 + 34p – 21

What are the coordinates of the vertex for f(x) = x2 + 4x + 10?

Change the fraction to a percent. 48/72