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.