Tau ,Igo,Iron shared a bag of mangoes in the ratio 7:5:14 If Igo receives 18 mangoes less than Iro,how many mangoes does Iro receive?
Answer me please
let their numbers be 7x, 5x, and 14x respectively.
You told me
14x - 5x = 18
take it from there.
To find out how many mangoes Iro receives, we first need to find the total number of parts in the ratio.
The ratio of Tau, Igo, and Iron is 7:5:14. Adding these numbers together gives us a total of 7 + 5 + 14 = 26 parts.
Since Igo receives 18 mangoes less than Iro, we can set up the following equation:
5 parts = Igo's share
14 parts = Iro's share
We can set up a proportion using these values:
5 parts / 14 parts = (Igo's share) / (Iro's share)
To find Iro's share, we can solve for it using the cross-multiplication method:
5 * (Iro's share) = 14 * (Igo's share)
Rearranging the equation, we get:
(Iro's share) = (14 * Igo's share) / 5
Since Igo's share is 18 mangoes less than Iro's share, we can express Igo's share as (Iro's share - 18):
(Iro's share) = (14 * (Iro's share - 18)) / 5
Simplifying the equation:
5 * (Iro's share) = 14 * (Iro's share - 18)
Expanding:
5 * Iro's share = 14 * Iro's share - 14 * 18
Rearranging the equation:
14 * Iro's share - 5 * Iro's share = 14 * 18
9 * Iro's share = 14 * 18
Dividing both sides by 9:
Iro's share = (14 * 18) / 9
Iro's share = 28
Therefore, Iro receives 28 mangoes.
To solve this problem, we need to follow these steps:
Step 1: Understand the given information.
We are given that Tau, Igo, and Iron shared a bag of mangoes in the ratio 7:5:14, respectively. And we are told that Igo received 18 mangoes less than Iron.
Step 2: Express the given ratio as a common multiplier.
Since the ratio of the number of mangoes they received is 7:5:14, we need to find the common multiplier to add up to the total number of parts in the ratio. The common multiplier will be the sum of the individual ratio values (7 + 5 + 14 = 26).
Step 3: Divide the total mangoes by the common multiplier.
To find the value of one part in the ratio, we divide the total number of mangoes by the common multiplier. However, we don't have the total number of mangoes provided in the question. Without this information, we cannot find the exact number of mangoes Iro received.
So, unfortunately, we cannot determine the exact number of mangoes Iro received based on the given information.