Solve problems 22, 23, and 24 from the image.
Understand the Problem
The image contains several math problems. Problem 22 asks to find the percentage increase in mobile app users from last month to this month. Problem 23 asks to find the total number of dresses sold over two weeks, given the sales for each week. Problem 24 involves comparing the percentage decrease of sugar in two different drinks after a reduction in sugar content.
Answer
(b) $72 (assuming 10% tip) 22. $75\%$ 23. Cannot be solved, number of dresses sold this week is missing 24. No, Kelvin is not correct. $X = 37.5\%$, $Y = 50\%$
Answer for screen readers
(b) The price of Stella's meal is $72 if we assume a 10% tip.
22. The percentage increase in the number of users is $75%$.
24. No, Kelvin is not correct. The percentage decrease in sugar in drink X is $37.5%$ and in drink Y is $50%$.
Steps to Solve
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Understand the Problem Stella has to pay $79.2, which includes a tip. We have to find the original price of the meal before the tip was added. The 'Ricky' problem cannot be solved, because the question is cut off.
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Problem (b): Assume the tip percentage. Since there is no indication for the exact percentage for the tip provided, I will assume a tip percentage of 10% Let $x$ be the original price of the meal. The total amount Stella pays is the price of the meal plus the tip. So, $x + 0.1x = 79.2$
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Solve for x Combining the terms on the left side: $1.1x = 79.2$ Divide both sides by 1.1 to isolate $x$: $x = \frac{79.2}{1.1} = 72$
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Problem 22: Find the number of users last month The number of users this month is 350,000, which is 150,000 more than last month. Therefore, the number of users last month is: $350,000 - 150,000 = 200,000$
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Problem 22: Calculate the percentage increase The increase in users is 150,000. The percentage increase is calculated as: $\frac{\text{Increase}}{\text{Original Number}} \times 100%$ Percentage Increase = $\frac{150,000}{200,000} \times 100% = 0.75 \times 100% = 75%$
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Problem 23: Find the number of dresses sold this week The image is incomplete, as the number of dresses sold this week is missing.
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Problem 24: Calculate the percentage decrease in sugar for drink X. Original sugar in drink X: 32g Decrease in sugar: 12g Percentage decrease in X = $\frac{12}{32} \times 100% = 37.5%$
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Problem 24: Calculate the percentage decrease in sugar for drink Y. Original sugar in drink Y: 24g Decrease in sugar: 12g Percentage decrease in Y = $\frac{12}{24} \times 100% = 50%$
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Problem 24: Compare the percentage decreases The percentage decrease in drink X (37.5%) is less than the percentage decrease in drink Y (50%). Therefore, Kelvin is incorrect.
(b) The price of Stella's meal is $72 if we assume a 10% tip.
22. The percentage increase in the number of users is $75%$.
24. No, Kelvin is not correct. The percentage decrease in sugar in drink X is $37.5%$ and in drink Y is $50%$.
More Information
For problem (b), because the tip percentage was not defined, I made an assumption that it was 10%. If the tip percentage is different, the original price would be different.
Tips
- Forgetting to subtract to find the original number before calculating percentage increase (Problem 22).
- Calculating the percentage decrease using the new amount instead of the original amount (Problem 24).
- Making errors in calculating percentages.
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