If the sister is 20 now, the brother is 10. do you understand?
Answer:
$28000
Step-by-step explanation:
12×1000 + 12×1500 = 12000 + 18000 = $30000
the shortfall is the difference between $58000 and $30000
58000 - 30000 = $28000
Answer: Second option is correct.
Step-by-step explanation:
Since we have given that
Amount of quarts of acid and water = 5
Percentage of acid = 40%
So, Amount of acid is given by
![\frac{40}{100}\times 5\\\\=2\ quarts](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B100%7D%5Ctimes%205%5C%5C%5C%5C%3D2%5C%20quarts)
Amount of water is given by
![5-2=3\ quarts](https://tex.z-dn.net/?f=5-2%3D3%5C%20quarts)
So, we need to find the amount of water must be added to the mixture to get weakened to 30% acid.
Let x amount of water is added to mixture, so that water gets 70% of mixture and acid becomes 30% of mixture.
According to question,
![\frac{3+x}{2}=\frac{70}{30}\\\\\frac{3+x}{2}=\frac{7}{3}\\\\3(3+x)=2\times 7\\\\9+3x=14\\\\3x=14-9\\\\3x=5\\\\x=\frac{5}{3}\\\\x=1\frac{2}{3}\ quarts](https://tex.z-dn.net/?f=%5Cfrac%7B3%2Bx%7D%7B2%7D%3D%5Cfrac%7B70%7D%7B30%7D%5C%5C%5C%5C%5Cfrac%7B3%2Bx%7D%7B2%7D%3D%5Cfrac%7B7%7D%7B3%7D%5C%5C%5C%5C3%283%2Bx%29%3D2%5Ctimes%207%5C%5C%5C%5C9%2B3x%3D14%5C%5C%5C%5C3x%3D14-9%5C%5C%5C%5C3x%3D5%5C%5C%5C%5Cx%3D%5Cfrac%7B5%7D%7B3%7D%5C%5C%5C%5Cx%3D1%5Cfrac%7B2%7D%7B3%7D%5C%20quarts)
Hence, Second option is correct.