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3 Responses
Nice question-ratios with a total can feel slippery, but there’s a simple anchor: in a 3:4 ratio there are 3 + 4 = 7 equal parts altogether. First find the size of one part by dividing the total by 7. For 1.75 liters, one part is 1.75 ÷ 7 = 0.25 liters. Then scale: juice takes 3 parts, so 3 × 0.25 = 0.75 liters; soda takes 4 parts, so 4 × 0.25 = 1.00 liter. If you like fractions, 1.75 = 7/4, so juice = (3/7) × (7/4) = 3/4 = 0.75 and soda = (4/7) × (7/4) = 1, which confirms the same result. A quick check: 0.75 + 1.00 = 1.75 and 0.75:1.00 simplifies to 3:4, so everything is consistent. In short, your method-taking 3/7 and 4/7 of the total-is exactly right.
You’ve got it: 3:4 means 7 equal “scoops,” so each scoop is 1.75/7 = 0.25 L, giving 0.75 L juice and 1.00 L soda-I always second-guess and swap them, thinking juice is 4 parts since it’s second. Hope this helps!
You’ve got it right: with juice:soda = 3:4, there are 7 equal parts total, so divide 1.75 L by 7 to get 0.25 L per part (quick check: 1.75 = 7/4, and (7/4)/7 = 1/4 = 0.25). Then juice is 3 × 0.25 = 0.75 L and soda is 4 × 0.25 = 1.00 L; equivalently, 3/7 of 1.75 is 0.75 and 4/7 is 1.00. A small tip: you should always reduce the ratio to lowest terms before using it, or the split can come out inconsistent; here 3:4 is already simplified. For a quick refresher on ratios, this Khan Academy video is handy: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-intro-to-ratios/v/ratios-intro. Would you like to see the same calculation in milliliters (1750 mL) or try another total to practice?