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Helen [10]
2 years ago
5

John took all his money from his savings account. He spent ​$110 on a radio and 4/11 of what was left on presents for his friend

s. John then put 2/5 of his remaining money into a checking account and donated the​ $420 that was left to charity. How much money did John originally have in his savings​ account?
Mathematics
1 answer:
svp [43]2 years ago
8 0

Answer:

$1210

Step-by-step explanation:

Let x be total amount

First John spent $110 on a radio and 4/11 of what was left on presents for his friends so he was left with

\frac{7}{11}(x-110)=\frac{7}{11}x-70

Then he put 2/5 of his remaining money into a checking account

\frac{3}{5}\left(\frac{7}{11}x-70\right)

Rest he donated to charity

420=\frac{3}{5}\left(\frac{7}{11}x-70\right)\\\Rightarrow \left(\frac{7}{11}x-70\right)=\frac{2100}{3}\\\Rightarrow \frac{7}{11}x-70=700\\\Rightarrow \frac{7}{11}x=770\\\Rightarrow x=1210

Hence total amount of money John originally had was $1210

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