Answer:
![\boxed{365}](https://tex.z-dn.net/?f=%5Cboxed%7B365%7D)
Step-by-step explanation:
Let g = number of girls
and b = number of boys
We have conditions (1) and (2):
![\begin{array}{lrcll}(1) &\frac{2}{7}g & = & \frac{3}{5}b & \\(2) & g - b & = & 165 &\\(3) & 10g & = & 21b & \text{Multiplied each side of (1) by lcm of denominators}\\(4)& g & = & 165 + b &\text{Added b to each side of (2)}\\ & 10(165 + b) & = & 21b & \text{Substituted 4 into (3)} \\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blrcll%7D%281%29%20%26%5Cfrac%7B2%7D%7B7%7Dg%20%26%20%3D%20%26%20%5Cfrac%7B3%7D%7B5%7Db%20%26%20%5C%5C%282%29%20%26%20g%20-%20b%20%26%20%3D%20%26%20165%20%26%5C%5C%283%29%20%26%2010g%20%26%20%3D%20%26%2021b%20%26%20%5Ctext%7BMultiplied%20each%20side%20of%20%281%29%20by%20lcm%20of%20denominators%7D%5C%5C%284%29%26%20g%20%26%20%3D%20%26%20165%20%2B%20b%20%26%5Ctext%7BAdded%20b%20to%20each%20side%20of%20%282%29%7D%5C%5C%20%26%2010%28165%20%2B%20b%29%20%26%20%3D%20%26%2021b%20%26%20%5Ctext%7BSubstituted%204%20into%20%283%29%7D%20%5C%5C%5Cend%7Barray%7D)
![\begin{array}{lrcll} & 1650 + 10b & = & 21b & \text{Distributed the 10} \\ & 1650 & = & 11b & \text{Subtracted 10b from each side} \\ (5) & b & = & 150 &\text{Divided each side by 11} \\ & g - 150 & = & 165 & \text{Substituted (5) into (2)} \\ & g & = & 215 &\text{Added 150 to each side} \\\\ & g + b & = & 365 &\text{Added girls and boys} \\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blrcll%7D%20%26%201650%20%2B%2010b%20%26%20%3D%20%26%2021b%20%26%20%5Ctext%7BDistributed%20the%2010%7D%20%5C%5C%20%26%201650%20%26%20%3D%20%26%2011b%20%26%20%5Ctext%7BSubtracted%2010b%20from%20each%20side%7D%20%5C%5C%20%285%29%20%26%20b%20%26%20%3D%20%26%20150%20%26%5Ctext%7BDivided%20each%20side%20by%2011%7D%20%5C%5C%20%26%20g%20-%20150%20%26%20%3D%20%26%20165%20%26%20%5Ctext%7BSubstituted%20%285%29%20into%20%282%29%7D%20%5C%5C%20%26%20g%20%26%20%3D%20%26%20215%20%26%5Ctext%7BAdded%20150%20to%20each%20side%7D%20%5C%5C%5C%5C%20%26%20g%20%2B%20b%20%26%20%3D%20%26%20365%20%26%5Ctext%7BAdded%20girls%20and%20boys%7D%20%5C%5C%5Cend%7Barray%7D)
![\text{The number of children at the festival was \boxed{\textbf{365}}}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20number%20of%20children%20at%20the%20festival%20was%20%5Cboxed%7B%5Ctextbf%7B365%7D%7D%7D)
Check:
![\begin{array}{rlcrl}\frac{2}{7}\times315& = \frac{3}{5} \times150 & \qquad & 315 - 160 & =165\\90 & = 90& \qquad & 165 & = 165\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brlcrl%7D%5Cfrac%7B2%7D%7B7%7D%5Ctimes315%26%20%3D%20%5Cfrac%7B3%7D%7B5%7D%20%5Ctimes150%20%26%20%5Cqquad%20%26%20315%20-%20160%20%26%20%3D165%5C%5C90%20%26%20%3D%2090%26%20%5Cqquad%20%26%20165%20%26%20%3D%20165%5Cend%7Barray%7D)
Answer:
1/4
Step-by-step explanation:
Because 12+13 is 25 and 100 divided by 25 is 4 so its 1/4 hope this helps! :)
Answer:
40 tablets
Step-by-step explanation:
What we want to do is find how many mg of antihistamine you can take in a week.
If you can take 19mg in 6 hours, that means you can take
mg per day (because
, so you can take 19mg every 6 hours 4 times in a day.)
There are 7 days in a week, so you can take
mg per week.
Now, we know how many mg of antihistamine you can take per week. If we take antihistamine in increments of 13.2mg, then the total amount of tablets we can take per week is going to be
, which is approximately equal to 40.
So you can take 40 tablets in a week if you are 100 pounds.
Hope this helped!
It could maybe be 4 ,6. i am not pretty sure if this answer is correct or incorrect but i am just trying.