Maria opens a savings account with $50 and then saves $19 each week. How many weeks will it take for her account to reach $259? Represent this problem with an equation in the form px+q=r

Responses

50x+19=259
50 x plus 19 equals 259

19xβˆ’50=259
19 x minus 50 equals 259

259+50=19x
259 plus 50 equals 19 x

19x+50=259

11 answers

To find out how many weeks it will take for Maria's account to reach $259, we can let \( x \) represent the number of weeks. She starts with $50 and saves $19 each week. Therefore, we can represent the total amount in her account after \( x \) weeks as:

\[ 19x + 50 = 259 \]

So, the correct equation in the form \( px + q = r \) is:

\[ 19x + 50 = 259 \]

This is the equation that represents the problem.

Annette’s soccer team will play 15 games this season. That is 7 games fewer than 2 times the number of games they played last season. How many games did they play last season? Represent this problem with an equation in the form px+q=r .(1 point)
Responses

2xβˆ’7=15
2 x minus 7 equals 15

15βˆ’7=2x
15 minus 7 equals 2 x

2x+7=15
2 x plus 7 equals 15

7βˆ’2x=15

To find out how many games Annette’s soccer team played last season, we can let \( x \) represent the number of games they played last season. According to the problem, 2 times the number of games last season minus 7 equals the total number of games played this season (15 games).

We can represent this with the following equation:

\[ 2x - 7 = 15 \]

So, the correct equation in the form \( px + q = r \) is:

\[ 2x - 7 = 15 \]

This is the equation that represents the problem.

Solve the following real-world problem: Destiny opens a checking account with $100 and then deposits $27 each week. How many weeks will it take for her account to reach $343?Β (1 point)
Responses

3.16 weeks
3.16 weeks

9 weeks
9 weeks

16.4 weeks
16.4 weeks

12.7 weeks

To determine how many weeks it will take for Destiny's account to reach $343, we can start by using the equation that represents the situation.

Let \( x \) be the number of weeks. Destiny starts with $100 and deposits $27 each week, so we can write the equation as follows:

\[ 27x + 100 = 343 \]

Now, we can solve for \( x \):

  1. Subtract 100 from both sides: \[ 27x = 343 - 100 \] \[ 27x = 243 \]

  2. Divide both sides by 27: \[ x = \frac{243}{27} \] \[ x = 9 \]

So, it will take Destiny 9 weeks for her account to reach $343.

The correct response is:

9 weeks.

Solve the following real-world problem: Ahmadullah’s basketball team will play 21 games this season. That is 12 games more than 1/3 the number of games they played last season. How many games did they play last season?(1 point)
Responses

33 games
33 games

7 games
7 games

11 games
11 games

27 games

To find out how many games Ahmadullah's basketball team played last season, we can let \( x \) represent the number of games they played last season. According to the problem, 21 games is 12 games more than one-third of the number of games played last season.

We can formulate the equation as follows:

\[ 21 = \frac{1}{3}x + 12 \]

Now, we can solve for \( x \):

  1. First, subtract 12 from both sides: \[ 21 - 12 = \frac{1}{3}x \] \[ 9 = \frac{1}{3}x \]

  2. Now, multiply both sides by 3 to isolate \( x \): \[ 9 \times 3 = x \] \[ x = 27 \]

Thus, Ahmadullah's basketball team played 27 games last season.

The correct response is:

27 games.

Joseph wants to buy tickets for the baseball game and a team hat to wear to the game. He has $34.25. If the hat costs $12.50 and tickets cost $7.25 each, how many tickets can he buy?(1 point)
Responses

3 tickets
3 tickets

6 tickets
6 tickets

1 ticket
1 ticket

2 tickets

To determine how many tickets Joseph can buy, we can start by calculating the amount of money he has left after purchasing the hat.

  1. Calculate money left after buying the hat:

    • Total money: $34.25
    • Cost of the hat: $12.50

    \[ \text{Money left} = 34.25 - 12.50 = 21.75 \]

  2. Determine how many tickets he can buy:

    • Cost of each ticket: $7.25

    We can now calculate the maximum number of tickets he can buy with the remaining money:

    \[ \text{Number of tickets} = \frac{\text{Money left}}{\text{Cost per ticket}} = \frac{21.75}{7.25} \]

    Performing the division:

    \[ \text{Number of tickets} \approx 3 \]

So, Joseph can buy 3 tickets.

The correct response is:

3 tickets.

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