B = Brannon’s sport drinks
T = Telvin’s sport drinks
The ratio of Brannon’s sport drinks to Telvin’s sport drinks was 3:1 means:
B / T = 3 / 1
B / T = 3
Multiply both sides by T
B = 3 T
When Brannon gave 10 sport drinks to Telvin, Branon will have B - 10 sport drinks.
Telvin will have T + 10 sport drinks.
When Brannon gave 10 sport drinks to Telvin, they each had the same amount means:
B - 10 = T + 10
Replace B by 3 T in this equation.
3 T - 10 = T + 10
Add 10 to both sides
3 T = T + 20
Subtract T to both sides.
2 T = 20
T = 20 / 2 = 10
Telvin has 10 sport drinks.
B = 3 T
B = 3 ∙ 10 = 30
Brannon has 30 sport drinks.
They altogether have 30 + 10 = 40 sport drinks
Check result.
The ratio of Brannon’s sport drinks to Telvin’s sport drinks was 3:1
B / T = 30 / 10 = 10 ∙ 3 / 10 ∙ 1 = 3 / 1 = 3:1
When Brannon gave 10 sport drinks to Telvin, they each had the same amount.
B - 10 = T + 10
30 - 10 = 10 + 10
20 = 20
The ratio of Brannon’s sport drinks to Telvin’s sport drinks was 3:1. When Brannon gave 10 sport drinks to Telvin, they each had the same amount. How many sport drinks did they have altogether?
1 answer