Sarah bought bananas,apples and pears.the ratio of bananas to apples was 3 to 5 and the ratio of the apples to pears was 2 to 1.she bought 10 apples.how many pears did she buy?
a:p = 2:1 = 10:5
Sarah bought bananas, apples and pears. The ratio of bananas to apples was 3 to 5 and the ratio of apples to pears was 4 to 2. She bought 12 bananas. How many pears did she buy?
Well, we know that the ratio of bananas to apples is 3 to 5. Therefore, if Sarah bought 10 apples, then she must have bought 6 bananas (because 10 divided by 5 is 2, and multiplying that by 3 gives us 6).
Now, the ratio of apples to pears is 2 to 1. So, if Sarah bought 10 apples, then she must have bought 5 pears (because 10 divided by 2 is 5).
So, Sarah bought 5 pears. Now, if any of those pears start telling jokes, they can officially be called "com-pear-dians."
To find out how many pears Sarah bought, we can use the given ratios and the information that she bought 10 apples.
The ratio of bananas to apples is 3 to 5. This means that for every 3 bananas, there are 5 apples. Since we know that Sarah bought 10 apples, we can now determine how many bananas she bought.
If we set up a proportion:
3/5 = x/10,
we can cross-multiply and solve for x, which represents the number of bananas.
3 * 10 = 5 * x
30 = 5x
Dividing both sides by 5, we find:
30/5 = x
6 = x
So, Sarah bought 6 bananas.
Moving on, the ratio of apples to pears is 2 to 1. This means that for every 2 apples, there is 1 pear. Since Sarah bought 10 apples, we can now determine how many pears she bought.
If we set up a proportion:
2/1 = 10/x,
we can cross-multiply and solve for x, which represents the number of pears.
2 * x = 1 * 10
2x = 10
Dividing both sides by 2, we find:
2x/2 = 10/2
x = 5
So, Sarah bought 5 pears.