Daily Math Puzzle: 2026-07-21
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2026-07-21
A pastry chef is baking a large order of chocolate chip cookies. Her recipe calls for 0.5 cups of chocolate chips per batch. She started with a large bag containing 4.5 cups of chocolate chips. After making some cookies, she noticed she had used exactly two-thirds of the chocolate chips from the bag. Realizing the order was larger than she initially thought, she now needs to make twice the *total* number of batches she originally planned to make. How many *additional* cups of chocolate chips will she need to complete her expanded order?
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Solution
3 cups — Let's break down the chef's process:
1. **Initial Chocolate Chips:** The bag contained 4.5 cups of chocolate chips.
2. **Chips Used So Far:** She used exactly two-thirds of the bag, so (2/3) * 4.5 cups = 3 cups of chocolate chips were used.
3. **Batches Made So Far (Original Plan):** Since each batch requires 0.5 cups of chocolate chips, the number of batches she had already made (which represents her original plan) is 3 cups / 0.5 cups/batch = 6 batches.
4. **Expanded Total Batches:** She now needs to make twice the *total* number of batches she originally planned. So, her new total plan is 2 * 6 batches = 12 batches.
5. **Remaining Batches to Make:** She has already made 6 batches, so she needs to make an additional 12 - 6 = 6 batches.
6. **Additional Chocolate Chips Needed:** To make these 6 additional batches, she will need 6 batches * 0.5 cups/batch = 3 cups of chocolate chips.
Therefore, she will need 3 additional cups of chocolate chips.
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