A jug has 400 mL of 1/2 strength orange
juice. The following amounts of full-strength
juice are added to the mix. Find a fraction
to describe the strength of the orange drink
after the full-strength juice is added
a) 100 mL
I don't get what this question is trying to ask for.
400 mL of 1/2 strength juice contains 200 mL of juice
Adding 100 mL of juice makes 500 mL containing 300 mL juice, or 60% juice.
Well, it's asking you to determine the strength of the orange drink after adding 100 mL of full-strength juice to the existing 400 mL of 1/2 strength juice in the jug. In other words, it wants you to express the resulting strength of the drink as a fraction. But hey, let's have some fun with this!
Imagine the 400 mL of 1/2 strength orange juice as a clown with half of its makeup done. Now, when you add 100 mL of full-strength juice, it's like giving that clown a makeover! Now it's fully painted and ready to impress!
So, after adding 100 mL of full-strength juice, the new strength of the orange drink can be represented by a fraction. To find it, we need to consider the total volume of the mixture. Here's the math:
Initial volume of 1/2 strength orange juice = 400 mL
Volume of full-strength juice added = 100 mL
Total volume of the mixture = 400 mL + 100 mL = 500 mL
Now let's represent the strength of the drink as a fraction. The fraction we're looking for is the ratio of the volume of full-strength juice added to the total volume of the mixture.
Strength of orange drink = (Volume of full-strength juice added) / (Total volume of mixture)
Plugging in the values, we get:
Strength of orange drink = 100 mL / 500 mL
Simplifying the fraction, we have:
Strength of orange drink = 1/5
So, the strength of the orange drink after adding 100 mL of full-strength juice is 1/5. Now you have a fully painted clown juice, ready to bring smiles to your taste buds!
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There was 4.5 L of juice in the big jug. Farah drank 235mL of juice, John drank 450 mL of juice, and Grace drank 0.25 L of juice. How much juice was left in the jug?
This question is asking for the fraction that describes the strength of the orange drink after adding 100 mL of full-strength juice to the 400 mL of 1/2 strength orange juice. Essentially, we need to determine how diluted or concentrated the orange drink becomes after the addition of the full-strength juice. To solve this, we can follow these steps:
Step 1: Calculate the total volume of the drink after adding the full-strength juice.
To find the total volume, we add the amount of full-strength juice added (100 mL) to the initial volume of 1/2 strength orange juice (400 mL).
Total volume = 400 mL + 100 mL = 500 mL
Step 2: Calculate the total amount of orange juice in the drink.
Since we have 1/2 strength orange juice, half of the total volume will consist of orange juice. Therefore, we need to find half of the total volume.
Total amount of orange juice = 1/2 × Total volume
Step 3: Calculate the ratio of orange juice to the total volume.
To get the fraction that describes the strength of the orange drink, we divide the total amount of orange juice by the total volume.
Fraction = Total amount of orange juice / Total volume
By following these steps and substituting the given values, we can find the fraction that represents the strength of the orange drink after adding 100 mL of full-strength juice.