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AleksandrR [38]
3 years ago
9

there are 12 boys and 10 girls in the gym class. If 6 more boys joined , how many more girls are needed to stay at the same rati

o.
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
8 0
\frac{12}{10}= \frac{18}{x}  

cross multiply
12x=180
divide both sides by 12
x=15
if their is 10 girls, then you need 5 more to keep the ratio. 

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12 less than the quotient of a number and seven is -2 find the number
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A quotient is the result of a division.
Let the unknown number be x.

We translate the problem into an equation, piece by piece.

<span>"quotient of a number and seven"  ---->   x/7
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<span>"12 less than the quotient of a number and seven"  ---->    x/7 - 12

The word "is" means "="
x/7 - 12 =

All the above is -2, so it equals -2.

x/7 - 12 = -2

\dfrac{x}{7} - 12 = -2

First, add 12 to both sides and simplify.

</span><span>\dfrac{x}{7} - 12 + 12 = -2 + 12

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Next, multiply both sides by 7.

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