math problem sum?

Question

the ration of the number of apples in crate A to the number of oranges in crater B is 5:3.When 74 apples were transferred from A to B,the ratio is 1:3.
a)How many apples were there altogether?
b)After the transferred ,50 apples were sold from rate B,what is the new ratio of the number of apples in crate A to the number of apples to crate B.

Answer 1

correct the question - 75 apples were transferred - not 74

two equations
1) A/B = 5/3
2) A-75/B+75 = 1/3

ok- since the ratio of A/B is 5/3, therefore 3A=5B
reason - multiply both sides by 3/5 and you get 3a/5b = 1

so we do this to the second equation - by 3/1
and get 3A-225/ B+75 = 1...therefore
3a-225 = B + 75.. and we can substitute because we know what the value of 3A is

5B-225=B+75....subtract B both sides
4b-225 = 75.....add 225 both sides
4b = 300...divide by 4
B = 75.....3a=5b = 5 x 75 = 375
3A=375
A = 125

a) Crate A had 125 apples

proof - 125-75 = 50
75+75 = 150 new ratio 50/150 = 1/3 tadaaaaaaaaa!

now you can do B from here - Best of luck!

Answer 2

A Math Apple pie listen to the radio