1:3

Do you want to interpret, convert, or solve a problem with the ratio 1:3? Here’s a quick refresher:

• Meaning: A:B = 1:3 means B is three times A. If you split a total quantity T into 4 parts, A gets 1 part and B gets 3 parts.

  • A = T/4
  • B = 3T/4

• Conversions:

  • Fraction form: 1:3 = 1/4 and 3/4 for A and B, respectively
  • Decimal: 0.25 and 0.75
  • Percentage: 25% and 75%

• If you have variables: If x:y = 1:3, then y = 3x. If x + y = S, then x = S/4 and y = 3S/4.

• Quick examples:

  • Total = 40 units: A = 10, B = 30
  • Total parts = 4: each part = 25%; A = 25%, B = 75%
  • If you have 200 g total in a 1:3 mix: A = 200*(1/4) = 50 g, B = 150 g

If you share a specific problem (e.g., total quantity, or one of the components), I’ll work it out step by step. Want a worked example or a short set of practice problems?