If $350 is divided into two portions in the ratio 2:5 , the smaller portion is
The sum is divided on = 2 + 5 = 7 parts
p = One part
2 p + 5 p = $ 350
7 p = $ 350
p = $ 350 / 7
p = $ 50
2 p = 100$
5 p = 250$
The smaller portion is 2 p = $100
Check results:
2 p / 5 p = 100 / 250 = 50 ∙ 2 / 50 ∙ 5 = 2 / 5
To find the smaller portion, we first need to determine the total number of parts in the ratio of 2:5.
The total number of parts is calculated by adding the two parts together: 2 + 5 = 7.
Next, we need to find the value of one part by dividing the total amount of money by the total number of parts: $350 ÷ 7 = $50.
Since the ratio is 2:5, the smaller portion represents 2 parts.
To calculate the value of the smaller portion, we multiply the number of parts by the value of one part: 2 × $50 = $100.
Therefore, the smaller portion is $100.
To find the smaller portion, we can first determine the total number of parts in the ratio 2:5. In this case, the total number of parts is 2 + 5 = 7.
Next, we can find the value of each part by dividing the total amount ($350) by the total number of parts (7).
$350 ÷ 7 = $50
Now, since the ratio is 2:5, we know that the smaller portion corresponds to the smaller value in the ratio. In this case, 2 parts correspond to $50.
So, to find the value of the smaller portion, we can multiply the value of each part ($50) by the number of parts in the ratio that corresponds to the smaller portion (2):
$50 × 2 = $100
Therefore, the smaller portion is $100.