Question

Tyrell has a goal to spend 26 hours each month volunteering in a community library. So far for this month, he has volunteered for 17 hours. Write a working equation that represents the number of hours, h , that Tyrell still needs to volunteer to reach his goal for this month and solve this equation. (

Answer 1

Question
Krista and Alexa played balloon darts in a school fair. Krista popped 6 balloons, which is 1 balloon less than Alexa. Complete the working equation that represents the number of balloons, b , that Alexa popped and solve the equation.

Answer 2

During weekdays, Richard is working as a part-time library assistant at a university. He needs to work for a total of 30 hours a week. For the first three days of the week, he worked 2115 hours. Complete the working equation that represents the number of hours, h, Richard needs to work to reach 30 hours for the week and solve the equation.

Answer 3

To represent the situation with an equation, we can set up the equation based on Tyrell's goal of 26 hours and the hours he has already volunteered. Let \( h \) be the number of additional hours he needs to volunteer.

The equation can be written as:

\[
17 + h = 26
\]

Now, we will solve for \( h \):

1. Subtract 17 from both sides of the equation:

\[
h = 26 - 17
\]

2. Calculate the right side:

\[
h = 9
\]

So, Tyrell still needs to volunteer **9 hours** to reach his goal of 26 hours this month.

Answer 4

Let's define the variable \( b \) to represent the number of balloons that Alexa popped. According to the problem, Krista popped 6 balloons, which is 1 balloon less than what Alexa popped. We can set up the equation as follows:

\[
b - 1 = 6
\]

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

1. Add 1 to both sides of the equation:

\[
b = 6 + 1
\]

2. Calculate the right side:

\[
b = 7
\]

So, Alexa popped **7 balloons**.

Answer 5

To find the number of hours \( h \) that Richard needs to work to reach his total of 30 hours for the week, we can set up the equation based on the hours he has already worked and his goal.

First, let's denote the amount of time Richard has already worked:

- He has worked **2115 hours** over the first three days.

The equation to represent the situation can be written as:

\[
2115 + h = 30
\]

Now, let's solve for \( h \):

1. Subtract 2115 from both sides of the equation:

\[
h = 30 - 2115
\]

2. Calculate the right side:

\[
h = -2085
\]

So, the result shows that Richard has exceeded his target by 2085 hours. This indicates he does not need to work any additional hours; instead, he has already completed significantly more than his required 30 hours for the week.