SOLUTION: Hi
A B C and D donated $900.00 . A contributed 20% of the total sum donated by her 3 friends. B contributed 25% of the total sum donated by her 3 friends. C contributed 50% of the
Question 1205552: Hi
A B C and D donated $900.00 . A contributed 20% of the total sum donated by her 3 friends. B contributed 25% of the total sum donated by her 3 friends. C contributed 50% of the total sum donated by her friends. What percentage of the total sum donated by the 4 friends did D contribute.
A different approach than the good one outlined by the other tutor....
Since A contributed 20% of the total contributed by the others, the fraction of the total that A contributed was .
Similarly, since B contributed 25% of the total contributed by the others, the fraction of the total B contributed was .
And since C contributed 50% of the total contributed by the others, the fraction of the total B contributed was .
So A contributed 1/6 of $900, or $150; B contributed 1/5 of $900, or $180; and C contributed 1/3 of $900, or $300.
Their combined contributions were $150+$180+$300 = $630, so the amount D contributed was $900-$630 = $270, which is 270/900 = 3/10 or 30% of the total.