Kelvin collected some local and foreign stamps. 2/3 of them were local stamps and the rest
were foreign stamps. After he gave away 5/6 of his local stamps and 125 foreign stamps, he
had 1/6 of his stamps left.
(a) How many stamps did Kelvin give away?
(b) What fraction of his stamps given away were local stamps?
answer is 4
To solve this problem, we need to work step by step. Let's break down the given information and solve it together.
Let's represent the total number of stamps Kelvin collected as "x".
(a) To find out how many stamps Kelvin gave away, we need to calculate the difference between the total number of stamps he initially had and the number of stamps he had left after giving away some.
Initially, 2/3 of the stamps were local stamps, which means (2/3)x stamps were local. The remaining stamps must be foreign stamps.
So, the number of foreign stamps = x - (2/3)x = (1/3)x.
After giving away 5/6 of his local stamps and 125 foreign stamps, Kelvin had 1/6 of his stamps left.
The number of stamps he had left = 1/6x.
To find the number of stamps he gave away, we can subtract the number of stamps he had left from the total number of stamps he collected:
Number of stamps given away = x - (1/6)x = (5/6)x.
Therefore, Kelvin gave away (5/6)x stamps.
(b) Now, let's find the fraction of his stamps given away that were local stamps.
The total number of stamps given away is (5/6)x, and 2/3 of this should be local stamps.
Fraction of local stamps given away = (2/3) * (5/6) = (10/18) = 5/9.
Therefore, 5/9 of the stamps Kelvin gave away were local stamps.
So, the answers to the questions are:
(a) Kelvin gave away (5/6)x stamps.
(b) The fraction of his stamps given away that were local stamps is 5/9.
If he started with x stamps, then
x - (5/6)(2/3 x) - 125 = 1/6 x
solve for x, and then you can answer the questions