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Digiron [165]
3 years ago
8

A bag is filled with marbles. You take out and mark 80 marbles. Then you put the marbles back in the bag and mix the marbles. In

a sample of 20 marbles, 4 of the marbles are marked. About how many marbles are in the bag?

Mathematics
2 answers:
evablogger [386]3 years ago
7 0
There are about 400 marbles
noname [10]3 years ago
3 0
About 400 marbles. You simply set up a proportion and solve it as I did in the photo attached.

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The sum of the digits of a certain two-digit number is 7. Reversing its digits increase the number by 9. What is the number?
Elis [28]
Let the two numbers be x and y.

According to your question;

x + y = 7
10y + x = 10x + y + 9

By equation 1 ; x = 7-y

Substituting the value of x ;

10y + ( 7 -y) = 10(7-y) + y + 9

9y + 7 = 70 -10y + y + 9

9y + 7 = 70 - 9y + 9

=> 18y = 70 -7 + 9
=> 18y = 72
=> y = 4

Substituting for x ;

x = 7 - y
=> x = 7 -4
=> x = 3

Thus, x = 3 and y = 4;
=> The number is 34.
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