Let's solve each problem step by step:
---
Problem 1:
Benny has $75 to spend. He purchased a gift for $93. If he borrows the extra money that he needs, how much does he need to borrow?
#### Solution:
1. Benny has $75.
2. The cost of the gift is $93.
3. To find out how much more money Benny needs, we subtract the amount he has from the cost of the gift:
\[
93 - 75 = 18
\]
4. Therefore, Benny needs to borrow
$18.
Answer:
\[
\boxed{18}
\]
---
Problem 2:
The top of a mountain is 1270 feet above sea level. The bottom of a valley is 650 feet below sea level. How high is the mountain top from the bottom of the valley?
#### Solution:
1. The height of the mountain top above sea level is +1270 feet.
2. The depth of the valley below sea level is -650 feet.
3. To find the total vertical distance from the mountain top to the bottom of the valley, we add the absolute values of these two heights:
\[
1270 + 650 = 1920
\]
4. Therefore, the mountain top is
1920 feet above the bottom of the valley.
Answer:
\[
\boxed{1920}
\]
---
Problem 3:
A football team scores 3 goals in the first half and 2 in the second half. However, the opponent team scored 3 goals in the whole game. Which team has won, and by how many goals?
#### Solution:
1. The first team scores:
- 3 goals in the first half
- 2 goals in the second half
- Total goals = \(3 + 2 = 5\)
2. The opponent team scores 3 goals in total.
3. To determine the winner, we compare the total goals:
- First team: 5 goals
- Opponent team: 3 goals
4. The first team wins by:
\[
5 - 3 = 2 \text{ goals}
\]
Answer:
\[
\boxed{2}
\]
---
Problem 4:
Twice a number added to half of itself equals 24. Find the number.
#### Solution:
1. Let the number be \(x\).
2. Twice the number is \(2x\).
3. Half of the number is \(\frac{x}{2}\).
4. According to the problem, twice the number added to half of itself equals 24:
\[
2x + \frac{x}{2} = 24
\]
5. To eliminate the fraction, multiply every term by 2:
\[
2 \cdot 2x + 2 \cdot \frac{x}{2} = 2 \cdot 24
\]
\[
4x + x = 48
\]
6. Combine like terms:
\[
5x = 48
\]
7. Solve for \(x\):
\[
x = \frac{48}{5} = 9.6
\]
Answer:
\[
\boxed{9.6}
\]
---
Problem 5:
The temperature recorded in New York City on Monday is 20°C. If the temperature increases by 10°C on Tuesday and falls by 15°C on Wednesday, find the temperature recorded on Wednesday.
#### Solution:
1. The temperature on Monday is 20°C.
2. On Tuesday, the temperature increases by 10°C:
\[
20 + 10 = 30^\circ \text{C}
\]
3. On Wednesday, the temperature falls by 15°C:
\[
30 - 15 = 15^\circ \text{C}
\]
4. Therefore, the temperature on Wednesday is
15°C.
Answer:
\[
\boxed{15}
\]
---
Final Answers:
1. \(\boxed{18}\)
2. \(\boxed{1920}\)
3. \(\boxed{2}\)
4. \(\boxed{9.6}\)
5. \(\boxed{15}\)
Parent Tip: Review the logic above to help your child master the concept of integers word problems worksheet pdf.
