Pregunta
4yle warts to buy a hat for \( \$ 5.75 \), a T-shirt for \( \$ 7.65 \), and a keychain for \( \$ 3.15 \). He has \( \$ 16 \). Does he have encugh money? Use estimation only to decide. Explain why you are confident in your estimate.
Ask by Salazar Smith. in the United States
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
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Kyle doesn't have enough money because the estimated total cost of the items (\$17) is more than the \$16 he has.
Solución
To determine whether Kyle has enough money using estimation, let's round each item's price to the nearest whole dollar:
1. **Hat:** \$5.75 ≈ \$6
2. **T-shirt:** \$7.65 ≈ \$8
3. **Keychain:** \$3.15 ≈ \$3
**Estimated Total Cost:**
\$6 (Hat) + \$8 (T-shirt) + \$3 (Keychain) = **\$17**
**Kyle's Available Money:** \$16
**Conclusion:**
Based on the estimation, Kyle would need approximately \$17 to purchase all three items, but he only has \$16. Therefore, **he does not have enough money**.
**Why I'm Confident in This Estimate:**
- **Rounding Up for Accuracy:** By rounding each item to the next whole dollar, we're ensuring that the estimate is slightly higher than the actual total. This approach minimizes the risk of underestimating.
- **Simple Calculation:** Estimation simplifies complex numbers, making it easier to make quick, reasonable judgments without needing exact figures.
Given that the estimated total (\$17) exceeds Kyle's available money (\$16), it's reasonable to conclude that he doesn't have enough funds for all three items.
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Mind Expander
To estimate the total cost, we can round the prices to the nearest whole number: the hat is about \( \$6 \), the T-shirt is about \( \$8 \), and the keychain is about \( \$3 \). Adding these rounded amounts gives us \( \$6 + \$8 + \$3 = \$17 \). Since \( \$17 \) is greater than \( \$16 \), we can confidently say he does not have enough money. Using estimation helps us quickly gauge whether he can make the purchases without getting bogged down in exact calculations. Rounding to whole numbers simplifies the math and speeds up decision-making!
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