Answer:
2 gallons of orange juice.
Step-by-step explanation:
Given:
Jan makes a party punch that requires 2 gallons of orange juice for every 1/2 (0.5) gallon of lemonade.
Matt favorite party punch recipe calls for 3 gallons of orange juice for every 2 gallons of pineapple juice.
To find:
If Matt and Jan make 10 gallons of punch, how many more gallons of orange juice would Jan use than Matt?
Solution:
Jan makes a party punch by mixing orange juice and lemonade in = 2:0.5
Matt makes a party punch by mixing orange juice and pineapple juice in = 3:2
Let ratio be
To find how many gallons of orange juice would Jan use,
By dividing both sides by 2.5
,
Jan use gallons of orange juice to make 10 gallons of punch,
Similarly, to find how many gallons of orange juice would Matt use,
By dividing both sides by 5
Matt use gallons of orange juice to make 10 gallons of punch,
Now, to find how many more gallons of orange juice would Jan use than Matt,
Jan use gallons of orange juice to make 10 gallons of punch - Matt use gallons of orange juice to make 10 gallons of punch
8 - 6 = 2 gallons.
Hence, Jan use 2 gallons more orange juice than Matt.