Sule,Tayo and Uche agreed to share the expenses for an evening out in the ratio 2:3:4 respectively.Sule paid #2030 for the taxi,Tayo paid #4900 for the food and Uche paid #3150 for the cinema.How much should Sule and Uche pay Tayo to settle their agreed shares
2030+4900+3150 = 10080
2+3+4 = 9, and 10080/9 = 1120
2:3:4 = 2240 : 3360 : 4480
Sule needs to pay 2240-2030 = 210
Uche needs to pay 4480-3150 = 1330
check: 4900-210-1330 = 3360
To find out how much Sule and Uche should pay Tayo to settle their agreed shares, we first need to determine the total amount they spent collectively.
Total expenses = Sule's expenses + Tayo's expenses + Uche's expenses
= #2030 + #4900 + #3150
= #10080
Next, we need to calculate the individual shares for each person based on the agreed ratio.
Sule's share = Total expenses * (Sule's ratio / sum of all ratios)
= #10080 * (2 / (2 + 3 + 4))
= #10080 * (2 / 9)
= #2240
Tayo's share = Total expenses * (Tayo's ratio / sum of all ratios)
= #10080 * (3 / (2 + 3 + 4))
= #10080 * (3 / 9)
= #3360
Uche's share = Total expenses * (Uche's ratio / sum of all ratios)
= #10080 * (4 / (2 + 3 + 4))
= #10080 * (4 / 9)
= #4480
Now, we can calculate how much Sule and Uche should pay Tayo to settle their agreed shares.
Amount Sule should pay Tayo = Tayo's share - Sule's actual payment
= #3360 - #2030
= #1330
Amount Uche should pay Tayo = Tayo's share - Uche's actual payment
= #3360 - #3150
= #210
Therefore, Sule and Uche should pay Tayo a total of #1330 to settle their agreed shares.
To find out how much Sule and Uche should pay Tayo to settle their agreed shares, we need to determine the total amount of money they spent collectively, calculate the ratio of their shares, and then calculate the amount each person should contribute.
First, let's calculate the total amount of money spent:
Total amount = Sule's payment + Tayo's payment + Uche's payment
Total amount = 2030 + 4900 + 3150
Total amount = 10080
Next, let's calculate the ratio of their shares:
Sule's share = 2
Tayo's share = 3
Uche's share = 4
To calculate the total shares, we add up the individual shares:
Total shares = Sule's share + Tayo's share + Uche's share
Total shares = 2 + 3 + 4
Total shares = 9
Now, we can find the equivalent shares in terms of money:
Sule's equivalent share = (Sule's share / Total shares) x Total amount
Sule's equivalent share = (2/9) x 10080
Sule's equivalent share = 2240
Tayo's equivalent share = (Tayo's share / Total shares) x Total amount
Tayo's equivalent share = (3/9) x 10080
Tayo's equivalent share = 3360
Uche's equivalent share = (Uche's share / Total shares) x Total amount
Uche's equivalent share = (4/9) x 10080
Uche's equivalent share = 4480
Since Tayo paid 4900 for the food, and his equivalent share is 3360, Sule and Uche should pay him the difference:
Amount to be paid = Tayo's equivalent share - Tayo's payment
Amount to be paid = 3360 - 4900
Amount to be paid = -1540 (Tayo pays this amount to Sule and Uche)
Therefore, Sule and Uche should pay Tayo #1540 to settle their agreed shares.