Answer:Let's denote the total amount of money as M.
According to the given information:
1. Ann received 1/3 of the money plus 10:
Ann's share = (1/3)M + 10
2. Bob received 1/4 of the money plus 20:
Bob's share = (1/4)M + 20
3. Carol received PHP 20:
Carol's share = 20
Since the total amount of money is divided among Ann, Bob, and Carol, we have the equation:
Ann's share + Bob's share + Carol's share = Total amount of money
((1/3)M + 10) + ((1/4)M + 20) + 20 = M
Now, we solve this equation for M:
((1/3)M + (1/4)M) + (10 + 20 + 20) = M
((4/12)M + (3/12)M) + 50 = M
((7/12)M) + 50 = M
50 = M - (7/12)M
50 = (12/12)M - (7/12)M
50 = (5/12)M
Now, to find the value of M, we'll multiply both sides by (12/5):
M = 50 * (12/5)
M = 120
Now that we have the total amount of money, we can find Ann and Bob's share:
Ann's share = (1/3)M + 10
= (1/3)(120) + 10
= 40 + 10
= 50
Bob's share = (1/4)M + 20
= (1/4)(120) + 20
= 30 + 20
= 50
So, Ann and Bob each received PHP 50.
