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Anettt [7]
3 years ago
10

If the ratio of purple marbles to orange marbles is 3 to 8, how many orange marbles will I have if I have 48 purple marbles?

Mathematics
2 answers:
sveticcg [70]3 years ago
6 0

Answer:

You will have 128 orange marbles

Step-by-step explanation:

Set this up as an equation

Variable x = number of orange marbles

3/8 = 48/x

Cross multiply

3 × x = 8 × 48

3x = 384

Divide both sides by 3 to isolate the variable

3x ÷ 3 = 384 ÷ 3

1x = 128

x = 128

128 orange marbles

Check work:

Substitute the variable x for the answer

3/8 = 48/128

Cross multiply

3 × 128 = 8 × 48

384 = 384

If the numbers equal, the answer is correct

Varvara68 [4.7K]3 years ago
4 0

Answer:

Step-by-step explanation:

128 marbles

First you divide 48 by 3 and u get 16. Then u multiply 16 by 8.

To prove just simplify

3/8=48/128

3/8=3/8

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25%

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Step-by-step explanation:

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Which of the following represents the most accurate estimation of 54-16?=
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You didn't tell us what the choices are, so there's
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The sum of two numbers is 53. if twice the first number minus three times the second number is 26, find both numbers.
EastWind [94]
Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53   (multiplied by 2)
2a - 3b = 26
--------------------------------------
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2a -  3b = 26
------------------- - (substract)
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Subtitute the value of b to one of the equations
a + b = 53
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a = 53 - 16
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The numbers are 16 and 37</span>
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3 years ago
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