Answer:
9 girls
Step-by-step explanation
3x+5x=24
8x=24
x=3
Now go back and replace x with 3
3(3)+5(3)=24
9+15= 24
9 girls is your answer!
Answer:
The explanation is much longer than doing the mathematics. The ratio of 15 boys to 10 girls is equivalent to the ratio of 3:2
Step-by-step explanation:
Consider the starting point:
We have 3 boys and 2 girls. This gives a total count of 5. So, we need to see how many lots of 5 will fit into 25.
5 lots of 5 gives 25
So we have 5 lots of the ratio 3:2
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Method 1
5 lots of 3:2 → 5 x (3:2)=(5 x 3) : (5 x 2) 15:10
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Method 2
Write the ratio in fractional form. We can do this as long as we do not view and treat it like a fraction
It does not matter in this case which we put on the top. I chose:
boys/girls → 3/2
Multiply a value (or system) by 1 and you do not change the value. However, 1 comes in many forms.
3/2 ×1 → 3/2 × 5/ 5 = 3 × 5
---------- =15/ 10 = boys
2 × 5 --------
girls
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The ratio of 15 boys to 10 girls is equivalent to the ratio of 3:2
15:10 = (15 divided by 5) : (10 divided by 5) = 3:2
where (=)- means equivalent to
