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irinina [24]
3 years ago
15

Mike has 4 times as many stamps as Andrew. If Mike gives Andrew 8 stamps, he will have twice as many stamps as Andrew. How many

stamps does each boy have?
Mathematics
2 answers:
ladessa [460]3 years ago
6 0
Mike has 4 times as many stamps as Andrew

Let Mike = M and Andrew = A, eq.1 will be M = 4A

However, if Mike gives Andrew 8 stamps, then the number of stamps Mike has is now twice the number of stamps Andrew has. This will give us another equation. 

eq. 2 will be M-8 = 2 (A+8) 

The expression on the left tells us that Mike gave away eight stamps, while the expression on the right tells us that whatever this new number is is equal to twice the total number of Andrew's stamps after receiving eight from Mike.
Simplifying this further gives us:

M-8 = 2A + 16
M = 2A + 16 + 8 = 2A + 24

Use 2A + 24 and substitute this for M in eq. 1. This gives us:

2A + 24 = 4A
24 = 4A - 2A
24 = 2A
12 = A, and therefore M = 48 (because M=4A)

To begin with, Andrew had 12 stamps and Mike had 48 stamps. 
If only M-8 = 2A is used, this will only meet the condition given in situation 1 (M=4A) but not situation 2, wherein after giving away 8 stamps, Mike's stamps is twice as many as Andrew's. You can check it. :) 
 
marishachu [46]3 years ago
5 0

Answer: Number of stamps Mike and Andrew have 48 and 12 respectively.

Step-by-step explanation:

Since we have given that

Number of stamps Andrew has be 'x'.

Number of stamps Mike has be '4x'.

Mike gives Andrew 8 stamps.

Number of stamps Andrew has 'x+8,

Number of stamps Mike has '4x-8'.

According to question, Mike will have twice as many stamps as Andrew.

4x-8=2(x+8)\\\\4x-8=2x+16\\\\4x-2x=16+8\\\\2x=24\\\\x=\frac{24}{2}=12\\

Hence, there are 12 stamps Andrew has and there are 4x=4\times 12=48 stamps Mike has.

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Anika [276]

Answer:

9.7cm

Step-by-step explanation

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a/sinA = c/sinC

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Cross multiply

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2 years ago
An 11 foot ladder leans against the side of a house. The bottom of the ladder is 6 feet from the side of the house. How high is
Mariulka [41]
Using Pythagoras Theorem,
(b is the length of the ladder from the ground)
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5 0
3 years ago
A town has a population of 2000 and grows at 4% every year what will be the population after 15 years to the nearest whole numbe
fomenos

To begin lets say year one the population is 2,000

assume this in percent we can say that 2,000=100%

at the end of this year the population will have grown by 4% meaning that

100%+4% will be the new population =104%

but we know that 100%=2,000 so what about 104%=X?

so (104*2000)/100=2,080

So year 1 the population will have grown by 80 people amounting to 2080 people.

Now do it manually year by year until we reach the 15th year. i will help you up to year 3

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5 0
3 years ago
(-4/9)(-5/8) multiply
Setler79 [48]
Multiply numerators:
-4*-5=20

Multiply denominators:
9*8=72

20/72= 10/36
10/36= 5/18

Final answer: 5/18
8 0
3 years ago
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The value of x will be obtained as follows:
1331x^4-216=0
1331x^4=216
divide through by 1331
x^4=216/1331
x=(216/1331)^(1/4)
x=(6^3/11^3)^(1/4)
x=(6/11)^(3/4)
8 0
3 years ago
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