Question

Four friends want to take a vacation together, so each one gets a part-time job. Each person has 8 weeks to save $720 for the vacation. Analyze the four individual plans below and decide which of the four people will reach his or her goal of saving $720 for vacation.
Friend A: Works 13 hours per week at $6.95 per hour.
Friend B: Works 15 hours per week at $5.85 per hour.
Friend C: Works 18 hours per week at $5.25 per hour.
Friend D: Works 11 hours per week at $7.80 per hour.
a.
A and C
b.
A and D
c.
B and C
d.
B and D


Please select the best answer from the choices provided

A
B
C
D

Answer 1

To see who will reach the goal of saving $720 in 8 weeks, we need to calculate how much each friend will earn over that period.

**Friend A**:
- Works 13 hours per week at $6.95 per hour.
- Earnings per week: \( 13 \text{ hours} \times 6.95 \text{ dollars/hour} = 90.35 \text{ dollars/week} \)
- Total earnings in 8 weeks: \( 90.35 \text{ dollars/week} \times 8 \text{ weeks} = 722.80 \text{ dollars} \)

**Friend B**:
- Works 15 hours per week at $5.85 per hour.
- Earnings per week: \( 15 \text{ hours} \times 5.85 \text{ dollars/hour} = 87.75 \text{ dollars/week} \)
- Total earnings in 8 weeks: \( 87.75 \text{ dollars/week} \times 8 \text{ weeks} = 702.00 \text{ dollars} \)

**Friend C**:
- Works 18 hours per week at $5.25 per hour.
- Earnings per week: \( 18 \text{ hours} \times 5.25 \text{ dollars/hour} = 94.50 \text{ dollars/week} \)
- Total earnings in 8 weeks: \( 94.50 \text{ dollars/week} \times 8 \text{ weeks} = 756.00 \text{ dollars} \)

**Friend D**:
- Works 11 hours per week at $7.80 per hour.
- Earnings per week: \( 11 \text{ hours} \times 7.80 \text{ dollars/hour} = 85.80 \text{ dollars/week} \)
- Total earnings in 8 weeks: \( 85.80 \text{ dollars/week} \times 8 \text{ weeks} = 686.40 \text{ dollars} \)

**Summary of the results:**
- Friend A: $722.80 (above $720, will reach the goal)
- Friend B: $702.00 (below $720, will not reach the goal)
- Friend C: $756.00 (above $720, will reach the goal)
- Friend D: $686.40 (below $720, will not reach the goal)

The friends who will reach their savings goal of $720 for the vacation are **Friend A and Friend C**.

Thus, the correct answer is: **A and C**.

So the best answer is: **A**.