Leren
Een totaalbedrag verdelen volgens een gegeven verhouding.
Ratio division problems ask you to split a total into parts according to a ratio. First, add the ratio parts to find the total number of 'shares'. Then divide the total amount by this number to find the value of one share. Finally, multiply by each ratio part to get the actual amounts.
Total T split in ratio a:b → Part A = T × a/(a+b), Part B = T × b/(a+b)
- Split $100 in ratio 3:2 → Shares = 5, each share = $20 → Parts are $60 and $40
- Divide 45 items in ratio 4:5 → Shares = 9, each = 5 → Parts are 20 and 25
- Split 120 in ratio 1:2:3 → Shares = 6, each = 20 → Parts are 20, 40, and 60
Zo herkent u het
- A total amount needs to be divided
- The division follows a specified ratio
- Add ratio parts first to find total shares
Veelgemaakte fouten
- Forgetting to add ratio parts to find total shares
- Dividing by only one ratio part instead of the sum
- Mixing up which part corresponds to which share
Stapsgewijze uitwerking
Verdeel $180 tussen twee personen in de verhouding 2:7.
- Tel de verhoudingsdelen op: 2 + 7 = 9
- Vind de waarde van één deel: $180 / 9 = $20
- Bereken het deel van de eerste persoon: 2 x $20 = $40
- Bereken het deel van de tweede persoon: 7 x $20 = $140
Antwoord: $40 and $140