Question

weekly earnings and spending
some students are keeping track of how much money they earn and spend in one week. use the table below to answer the questions.
activity | money earned or spent (in dollars)
hourly pay | 14
weekly allowance | 21
buy dinner | -12
ride the bus | -2.50

part a
some students are keeping track of how much money they earn and spend in one week. use the table below to answer the following question.
activity | money earned or spent (in dollars)
hourly pay | 14
weekly allowance | 21
buy dinner | -12
ride the bus | -2.50
if kevin gets paid for 3 hours, gets 1 weekly allowance, rides the bus 6 times, and has 0 dollars at the end of the week, how many times did he buy dinner? justify your answer.
respond in the space provided.

Explanation:

Step1: Calculate total earnings

Kevin works 3 hours at $14 per hour, so earnings from work: $14\times3 = 42$. He also gets a weekly allowance of $21. Total earnings: $42 + 21 = 63$.

Step2: Calculate total bus ride expenses

He rides the bus 6 times, each ride costs $2.50. So bus expenses: $2.50\times6 = 15$.

Step3: Let number of dinners be \(x\)

Total expenses from dinners: $12x$. Total expenses: $12x + 15$. Since final money is $0, earnings = expenses. So \(63 = 12x + 15\).

Step4: Solve for \(x\)

Subtract 15 from both sides: \(63 - 15 = 12x\) → \(48 = 12x\). Divide by 12: \(x = \frac{48}{12} = 4\).

Answer:

4