Esi and Afi were to share 56 mangoes so that Esi has 8 mangoes less than Afi. What would be Afi's share?

Mathematics
Esi and Afi were to share 56 mangoes so that Esi has 8 mangoes less than Afi. What would be Afi's share?

ScanSolve AI Answer

Answer

32

Step 1: Define variables for the shares. Let Afi's share be AA mangoes. Let Esi's share be EE mangoes.

Step 2: Set up equations based on the given information. The total number of mangoes is 56: A+E=56A + E = 56 Esi has 8 mangoes less than Afi: E=A8E = A - 8

Step 3: Substitute the second equation into the first equation. A+(A8)=56A + (A - 8) = 56 2A8=562A - 8 = 56

Step 4: Solve for AA. 2A=56+82A = 56 + 8 2A=642A = 64 A=642A = \frac{64}{2} A=32A = 32 Afi's share is 32 mangoes.

The final answer is 32\boxed{32}.

Step 1: Calculate the contribution per worker. The Ho branch has 50 workers and realized GHC 60000. Since each worker contributes an equal amount, the contribution per worker is: Contribution per worker=TotalamountfromHobranchNumberofworkersinHobranch\text{Contribution per worker} = \frac{Total amount from Ho branch}{Number of workers in Ho branch} Contribution per worker=6000050 GHC/worker\text{Contribution per worker} = \frac{60000}{50} \text{ GHC/worker} Contribution per worker=1200 GHC/worker\text{Contribution per worker} = 1200 \text{ GHC/worker}

Step 2: Calculate the total amount realized by the Kpando branch. The Kpando branch has 40 workers. Total amount from Kpando branch=Contributionperworker×Number of workers in Kpando branch\text{Total amount from Kpando branch} = Contribution per worker \times \text{Number of workers in Kpando branch} Total amount from Kpando branch=1200GHC/worker×40 workers\text{Total amount from Kpando branch} = 1200 GHC/worker \times 40 \text{ workers} Total amount from Kpando branch=48000 GHC\text{Total amount from Kpando branch} = 48000 \text{ GHC}

The final answer is GHC48,000.00\boxed{GHC 48,000.00}.

Step 1: Calculate the total age of the initial 9 students. The average age of 9 students is 25 years. Total age of 9 students=Averageage×Number of students\text{Total age of 9 students} = Average age \times \text{Number of students} Total age of 9 students=25years×9\text{Total age of 9 students} = 25 years \times 9 Total age of 9 students=225 years\text{Total age of 9 students} = 225 \text{ years}

Step 2: Calculate the new total age after the new student joins. A new student who is 15 years old joins the class. New total age=Totalageof9students+Age of new student\text{New total age} = Total age of 9 students + \text{Age of new student} New total age=225years+15 years\text{New total age} = 225 years + 15 \text{ years} New total age=240 years\text{New total age} = 240 \text{ years}

Step 3: Calculate the new average age for 10 students. The new number of students is 9+1=109 + 1 = 10. New average age=NewtotalageNewnumberofstudents\text{New average age} = \frac{New total age}{New number of students} New average age=240years10\text{New average age} = \frac{240 years}{10} New average age=24 years\text{New average age} = 24 \text{ years}

The final answer is 24\boxed{24}.

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Still have questions?

Quick Answer

Define variables for the shares. Let Afi's share be A mangoes.

Esi and Afi were to share 56 mangoes so that Esi has 8 mangoes less than Afi. What would be Afi's share?
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Define variables for the shares. Let Afi's share be A mangoes. Let Esi's share be E mangoes. Step 2: Set up equations based on the given information. The total number of mangoes is 56: A + E = 56 Esi has 8 mangoes less than Afi: E = A - 8 Step 3: Substitute the second equation into the first equation. A + (A - 8) = 56 2A - 8 = 56 Step 4: Solve for A. 2A = 56 + 8 2A = 64 A = (64)/(2) A = 32 Afi's share is 32 mangoes. The final answer is 32. Step 1: Calculate the contribution per worker. The Ho branch has 50 workers and realized GHC 60000. Since each worker contributes an equal amount, the contribution per worker is: Contribution per worker = Total amount from Ho branchNumber of workers in Ho branch Contribution per worker = (60000)/(50) GHC/worker Contribution per worker = 1200 GHC/worker Step 2: Calculate the total amount realized by the Kpando branch. The Kpando branch has 40 workers. Total amount from Kpando branch = Contribution per worker × Number of workers in Kpando branch Total amount from Kpando branch = 1200 GHC/worker × 40 workers Total amount from Kpando branch = 48000 GHC The final answer is GHC 48,000.00. Step 1: Calculate the total age of the initial 9 students. The average age of 9 students is 25 years. Total age of 9 students = Average age × Number of students Total age of 9 students = 25 years × 9 Total age of 9 students = 225 years Step 2: Calculate the new total age after the new student joins. A new student who is 15 years old joins the class. New total age = Total age of 9 students + Age of new student New total age = 225 years + 15 years New total age = 240 years Step 3: Calculate the new average age for 10 students. The new number of students is 9 + 1 = 10. New average age = New total ageNew number of students New average age = 240 years10 New average age = 24 years The final answer is 24.