Respuesta :
Let S be the number of sesame bagels and P be the number of plain bagels.
The ratio of 1:3 means that if we divide S by P, whatever values they assume, we get 1:3; which means that there are always 3 plain bagels for each sesame bagel.
In the simplest case we will have 4 bagels, from which 3 are plain and one is sesame, therefore, we will have 3 out of 4 bagels which are plain, that is: 3/4 of the bagels are plain.
3/4 is equivalent to having 3 parts of a WHOLE or UNIT, which was divided by 4. If we divide 1 by 4 we get 0.25 and if we get 3 of those 0.25 parts we have 0.75. That means our WHOLE or UNIT of bagels is composed of 0.75 plain bagels. To know how much bagels are plain in a pack of 100 bagels, just multiply the ratio 0.75 by the amount of the WHOLE of a 100:
100*0.75 = 75 percent, that is 75 of 100 bagels are plain.
If Jill bought 2 dozen bagels we just have to multiply by the ratio again to find the amount of plain ones:
(2*12)*0.75 = 18 plain bagels
Notice that if we wanted to find the amount of sesame bagels, we would just have to use 0.25 instead of 0.75, since those are the only 2 types of bagels forming the whole of 1.
The ratio of 1:3 means that if we divide S by P, whatever values they assume, we get 1:3; which means that there are always 3 plain bagels for each sesame bagel.
In the simplest case we will have 4 bagels, from which 3 are plain and one is sesame, therefore, we will have 3 out of 4 bagels which are plain, that is: 3/4 of the bagels are plain.
3/4 is equivalent to having 3 parts of a WHOLE or UNIT, which was divided by 4. If we divide 1 by 4 we get 0.25 and if we get 3 of those 0.25 parts we have 0.75. That means our WHOLE or UNIT of bagels is composed of 0.75 plain bagels. To know how much bagels are plain in a pack of 100 bagels, just multiply the ratio 0.75 by the amount of the WHOLE of a 100:
100*0.75 = 75 percent, that is 75 of 100 bagels are plain.
If Jill bought 2 dozen bagels we just have to multiply by the ratio again to find the amount of plain ones:
(2*12)*0.75 = 18 plain bagels
Notice that if we wanted to find the amount of sesame bagels, we would just have to use 0.25 instead of 0.75, since those are the only 2 types of bagels forming the whole of 1.
