Question

harry has a jar that contains 75% of apple juice and the rest water. The bottle has 1 liter of water.

Part A: write an equation in one variable that can be used to find the total number of liters of apple juice and water in the jar. Define the variable used in the equation.

Part B:How many liters of apple juice are present in the jar? show your work.

Answer 1

75% represents unknown quantity of juice.
25% represents one liter of water.
can you continue from here?

Answer 2

yes I think I can

Answer 3

can you still show me though? just in case

Answer 4

what do you have so far?

Answer 5

nothing really.... I am really confused

Answer 6

if 25% = 1 liter, what does 75% =?

Answer 7

75% equals the amount of apple juice?

Answer 8

how much? if 25% is one liter, then 75% is how much apple juice

Answer 9

how would I figure that out?

Answer 10

So 75% equals 3 liters...?

Answer 11

yes!

Answer 12

so you have determined that you have 1 liter of water and 3 liters of juice.

Answer 13

so how do I write that in equation form?

Answer 14

another way of saying liters is to use x as a variable.
if x represents 1 liter, how would you represent 3 liters?

Answer 15

would I use an exponent?

Answer 16

nope

Answer 17

x =1
2x = 2....

Answer 18

3x?

Answer 19

yup

Answer 20

so let's call water W, and juice J.
total= xW+3xJ

Answer 21

that means that the total is equal to 1 part water and three parts juice.
You are given water = 1, so plugging in one for x,
y=x+3x
y=1+3
y=4

Answer 22

are we done with part a then?

Answer 23

you've got part A and B there

Answer 24

oh okay thank you!!