Find how much orange juice concentrate Zoe used yesterday if she used 14 ounces of water.
B
The ratio of orange juice concentrate to water is constant.
A
B
B
See solution.
Practice makes perfect
We are given the ratio of orange juice concentrate to water Zoe used to make orange juice yesterday. This ratio tells us that for every 7 ounces of water Zoe used, she added 3 ounces of juice concentrate.
3: 7
If she used 2* 7=14 ounces of water yesterday, she must have used 2* 3= 6 ounces of juice concentrate. Therefore, if she wants to make twice as much orange juice today, she needs 2* 6=12 ounces of juice concentrate. This corresponds to answer B.
In Part A we found our answer using the fact that Zoe uses the same proportion of juice concentrate to water each time she make<premium partialsolution=1>s her juice. This means that we can use the table of equivalent ratios to find the number of ounces of juice concentrate Zoe needs today.
First, we multiply the ratio by 2 because Zoe used 14 ounces of water yesterday. Then we multiply both amounts by 2 again because today Zoe wants to make twice as much orange juice as she made yesterday. This means that she needs 12 ounces of juice concentrate today.
