Math

posted by .

Mix A=2 cups concentrate:3 cups water
Mix B=5 cups concentrate:9 cups water
Mix C=1 cups concentrate:2 cups water
Mix D=3 cups concentrate:5 cups water

For each mix, how much concentrate and how much water are needed to make 1 cup of juice?

  • Math -

    I will do one of them in a systematic way, you then should be able to reason out the others without any actual work

    MIX D
    conentrate:water = 3:5

    let the amount of concentrate be 3x
    and the amount of water be 5x

    (notice 3x:5x = 3:5)

    then 3x + 5x = 1
    8x = 1
    x = 1/8
    so concentrate = 3x = 3/8 of a cup
    water = 5x = 5/8 of a cup

    notice how 3/8 + 5/8 = 1
    notice 3/8 : 5/8 = 3:5

    can you now do the others by observing how the 8 was obtained?

  • Math -

    Thanks!!!
    A=2/5 & 3/5
    B=5/14 & 9/14
    C=1/3 & 2/3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Each camper gets a 1/2 cup of juice. For each mux how much concentrate and how much water are needed to make juice for 240 campers. Mix A 2 cups concentrate 3 cups water Mix B 5 cups concentrate 9 cups water Mix C 1 cup concentrate …
  2. Math

    A=2 cups concentarte:3 cups water B=5 cups concentrate:9 cups water C=1 cup concentrate:2 cups water D=3 cups concentrate:5 cups water For each mix, how many batches are needed to make juice for 240 campers?
  3. math

    MIX W 5 CUPS CONCENTRATE AND 8 CUPS COLD WATER. SUPPOSE YOU MAKE ONLY 1 CUP OF MIX W. hOW MUCH WATER AND HOW MUCH CONCENTRATE DO YOU NEED?
  4. math

    if you have a apple juice mix of 5 cups concentrate to 8 cups water, if you only make 1 cup of mix, how much water and how much concentrate do you need?
  5. math

    if possible, change each comparison of concentrate to water into a ratio. If not, explain why. a. the mix is 60% concentrate. b. the fraction of the mix that is water is 3/5 c. the difference between the amount of concentrate and water …
  6. Math

    Mix W = 5 Cups Concentrate and 8 Cups Cold Water, Mix X = 3 cups concentrate 6 cups cold water, Mix Y = 6 Cups Concentrate 9 Cups cold water, Mix Z = 3 Cups Concentrate 5 cups cold water Question: If possible, write each comparison …
  7. Algebra

    Bob needs to mix 2 cups of orange juice concentrate with 3.5 cups of water to make orange juice. Bob has 6 cups of concentrate. How much orange juice can he make?
  8. math

    Landyn wants to mix concentrate and water together to make her juice. The juice is 15% concentrate and 85% water. Her pitcher can hold 12 cups of juice. How many cups of concentrate does she need?
  9. Math ratios

    Bob needs to mix 2cups of orange juice conCentrate with 3.5 cups of water to make orange juice.bob has 6 cups of concentrate. How much orange juice can he make?
  10. math

    Bob needs to mix 2 cups of orange juice concentrate with 3.5 cups of water to make orange juice. Bob has 6 cups of concentrate. How much orange juice can he make?

More Similar Questions