Answer: 25 cups of apple juice and 10 cups of splarking water.
Step-by-step explanation:
1. You have the following information given in the problem:
- She mixes 5 cups of apple juice with 2 cups of sparklin.
- She wants to make 35 cups of sparkling apple juice.
2. Then:
[tex]5cups+2cups=7cups[/tex] (Each lot of sparkling apple juice has 7 cups).
3. As she needs 35 cups, she needs to make 5 lots of sparkling apple juice, because:
[tex]\frac{35}{7}=5lots[/tex]
4. Therefore, you must multiply 5 lots by 5 cups of apple juice and 5 lots by 2 cups of sparkling apple juice. Then, she should use:
[tex]A.juice=5*5cups=25cups\\S.water=5*2cups=10cups[/tex]
5. The answer is:
25 cups of apple juice and 10 cups of splarking water.