Karen collects local and foreign coins. of the coins in her collection, 1/4 are foreign coins. Of the foreign coins,2/5 are from mexico What fraction of the collections are foreign coins that are not from mexico?
total coins ---- x
foreign coins --- x/4
mexican coins -- (2/5)(x/4) = x/10
non-mexican foreign coins = (3/5)(x/4) = 3x/20
so 3/20 of the collection is non-Mexican foreign coins
check:
assume there are 60 coins
so 1/4 are foreign or 15 of them
2/5 of those are Mexican or 6 are Mexian
then 9 are non-Mexican foreign
that fraction is 9/60 = 3/20
Well, it seems like Karen is quite the international coin collector! So, let's break it down. We know that 1/4 of her collection consists of foreign coins.
Out of these foreign coins, 2/5 belong to Mexico. So, if we multiply 1/4 by 2/5, we can find the fraction of the collection that are foreign coins from Mexico.
1/4 * 2/5 = 2/20
Now, to find the fraction of the collection that are foreign coins NOT from Mexico, we can subtract this from the total fraction of foreign coins.
1/4 - 2/20 = 5/20 - 2/20 = 3/20.
So, the fraction of Karen's collection that are foreign coins NOT from Mexico is 3/20.
To find the fraction of the collection that represents foreign coins that are not from Mexico, we need to calculate two fractions:
1) The fraction of the collection that represents foreign coins.
2) The fraction of the foreign coins that are from Mexico.
Let's break down the problem step by step:
Step 1: Find the fraction of the collection that represents foreign coins.
Given that 1/4 of the coins in Karen's collection are foreign coins, the numerator of this fraction will be 1/4.
Step 2: Find the fraction of the foreign coins that are from Mexico.
Given that 2/5 of the foreign coins are from Mexico, the numerator of this fraction will be 2/5.
Step 3: Subtract the fraction of foreign coins from Mexico from the fraction of the foreign coins in the collection.
To find the fraction of foreign coins that are not from Mexico, we subtract the fraction of foreign coins from Mexico (2/5) from the fraction of the collection that represents foreign coins (1/4).
To compute this, we need to perform the following calculation:
Fraction of foreign coins - Fraction of foreign coins from Mexico
= 1/4 - 2/5
To subtract these fractions, we need to find a common denominator. The least common denominator (LCD) of 4 and 5 is 20.
So, let's rewrite the fractions with the common denominator of 20:
(1/4) = 5/20
(2/5) = 8/20
Now we can subtract the fractions:
(5/20) - (8/20) = (5 - 8) / 20 = -3/20
Therefore, the fraction of the collection that represents foreign coins that are not from Mexico is -3/20.
Karen collects local and foreign coins. Of the coins in her collection,
1
4 are foreign coins. Of the foreign coins, 2
5 are from Mexico.
What fraction of the collection are foreign coins that are not from Mexico?