Pregunta
John took all his money from his savings account. He spent
his friends. Of the money remaining, John put
charity. How much money did John originally have in his savings account?
John originally had
his friends. Of the money remaining, John put
charity. How much money did John originally have in his savings account?
John originally had
Ask by Joseph Macdonald. in the United States
Mar 22,2025
Solución de inteligencia artificial de Upstudy
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John originally had $1210 in his savings account.
Solución
Let
-
After spending
on a radio, the remaining amount is -
John then spent
of the remaining money on presents. The amount spent on presents is Therefore, the amount left after buying the presents is -
Of the money remaining, John put
into a checking account. This means the money that went into the checking account is The remaining money, which went to charity, is the rest of the amount after this transfer. Hence, the money left for charity is -
We are told that the amount left for charity is
. Therefore, we set up the equation: -
Solve for
: Notice that: -
Add
to both sides:
John originally had
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Simplifique esta solución Mind Expander
To solve the problem, let’s denote the original amount of money John had in his savings account as
-
After spending
on the radio, the amount left is . -
John then spends
of what is left on presents: Therefore, the remaining amount after buying the presents is: -
John puts
of the remaining amount into his checking account: The amount left after this is: -
Since the leftover for charity equals
, we can set up the equation: -
To solve this, we need a common denominator for the fractions involved:
The common denominator of 11 and 55 is 55. Therefore:This simplifies to: -
Multiply both sides by 55 to eliminate the fraction:
-
Calculate
: -
Now divide both sides by 21:
-
Finally, add 110 to both sides:
Therefore, John originally had
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