Answer:
120
Step-by-step explanation:
No. of plastic cups = 24
No. of straws =20
We need to find the smallest number of each that could be bought so that you had the same amount of cups and straws.
Prime factrisation of 24 = 2×3×2×2
Prime factorisation of 20 = 2×5×2
LCM = 120
Hence, the smallest number of each type will be 120.
The sum of first 20 arithmetic series 
Given:
Arithmetic series for 3rd term is 55
Arithmetic series for 7th term is -98
To find:
The sum of first 20 Arithmetic series
<u>Step by Step Explanation:
</u>
Solution:
Formula for calculating arithmetic series
Arithmetic series=a+(n-1) d
Arithmetic series for 3rd term 

Arithmetic series for 19th term is


Subtracting equation 2 from 1
![\left[a_{19}+18 d=-98\right]+\left[a_{1}+2 d=55\right]](https://tex.z-dn.net/?f=%5Cleft%5Ba_%7B19%7D%2B18%20d%3D-98%5Cright%5D%2B%5Cleft%5Ba_%7B1%7D%2B2%20d%3D55%5Cright%5D)
16d=-98-55
16d=-153

Also we know





First 20 terms of an AP



![a_{20}=[1106 / 16]-[2907 / 16]](https://tex.z-dn.net/?f=a_%7B20%7D%3D%5B1106%20%2F%2016%5D-%5B2907%20%2F%2016%5D)

Sum of 20 Arithmetic series is

Substitute the known values in the above equation we get
![S_{20}=\left[\frac{20\left(\left(\frac{558}{8}\right)+\left(\frac{-1801}{16}\right)\right)}{2}\right]](https://tex.z-dn.net/?f=S_%7B20%7D%3D%5Cleft%5B%5Cfrac%7B20%5Cleft%28%5Cleft%28%5Cfrac%7B558%7D%7B8%7D%5Cright%29%2B%5Cleft%28%5Cfrac%7B-1801%7D%7B16%7D%5Cright%29%5Cright%29%7D%7B2%7D%5Cright%5D)
![S_{20}=\left[\frac{\left.20\left(\frac{1106}{16}\right)+\left(\frac{-1801}{16}\right)\right)}{2}\right]](https://tex.z-dn.net/?f=S_%7B20%7D%3D%5Cleft%5B%5Cfrac%7B%5Cleft.20%5Cleft%28%5Cfrac%7B1106%7D%7B16%7D%5Cright%29%2B%5Cleft%28%5Cfrac%7B-1801%7D%7B16%7D%5Cright%29%5Cright%29%7D%7B2%7D%5Cright%5D)

![S_{20}=5\left[\frac{-695}{16}\right]](https://tex.z-dn.net/?f=S_%7B20%7D%3D5%5Cleft%5B%5Cfrac%7B-695%7D%7B16%7D%5Cright%5D)

Result:
Thus the sum of first 20 terms in an arithmetic series is 
Answer: 4 x 3 = 12 so 12 cups of cherries and 12 x 225 = 2700 grams and around 454 grams are in each pound that mean 5.95.9525 pounds of cherries
Step-by-step explanation:
23x3 is 69
219x6 is 1314
840x 3 2520
I found these
1,-1,3
-1,1,3
1,1,-3
let me know if it is correct