A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Kimo Leahi works at the Juice Joint. He adds 7 liters of orange juice to guava juice to make a mixture of guavaorange juice. A liter of orange juice sells for $2, and a liter of guava juice sells for $3. If a liter of guavaorange juice is to sell for $2.65, how many liters of guava juice should Kimo start with?
anonymous
 5 years ago
Kimo Leahi works at the Juice Joint. He adds 7 liters of orange juice to guava juice to make a mixture of guavaorange juice. A liter of orange juice sells for $2, and a liter of guava juice sells for $3. If a liter of guavaorange juice is to sell for $2.65, how many liters of guava juice should Kimo start with?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Take a basis of 1 liter and let x be the fraction of volume in that 1 liter that orange juice occupies. Then the guava juice will consist of (1x) of the volume. For your concoction, one liter will cost\[$2x+$3(1x)=$2.65\]Solving for x\[x=0.35\]That is, 35% of the volume will be orange juice, which means 65% will be guava juice. Since you know 35% of the total volume is orange juice,\[7L = 0.35V \rightarrow V=\frac{7L}{0.35}=20L\]which means the volume of guava juice is\[0.65V=0.65 \times 20L = 13L\]If you test this, your 20 liters of juice would cost\[13 \times $3+7 \times $2=$53\]that is,\[\frac{$53}{20L}=$2.65 /L\]
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.