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

Question

, that Tyrell still needs to volunteer to reach his goal for this month and solve this equation.

Answer
h+17=?
h=?

Answer 1

To find the number of hours \( h \) that Tyrell still needs to volunteer to reach his goal of 26 hours, we can set up the following equation:

\[ h + 17 = 26 \]

Now, to solve for \( h \), we subtract 17 from both sides:

\[ h = 26 - 17 \]

Calculating the right side:

\[ h = 9 \]

So, Tyrell still needs to volunteer 9 hours to reach his goal for this month.

Final Answer:

\[ h + 17 = 26 \] \[ h = 9 \]

Answer 2

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.

b-1=?
b=?

Answer 3

To represent the number of balloons that Alexa popped, we can start with the information given:

Krista popped 6 balloons, which is 1 balloon less than what Alexa popped. Therefore, we can write the equation as:

\[ b - 1 = 6 \]

Now, to solve for \( b \), we can add 1 to both sides of the equation:

\[ b = 6 + 1 \]

Calculating the right side:

\[ b = 7 \]

So, Alexa popped 7 balloons.

Final Answer:

\[ b - 1 = 6 \] \[ b = 7 \]

Answer 4

Question
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 21 1/5
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.(1 point)

21 1/5=?
h=?

Answer 5

To find the number of hours \( h \) that Richard still needs to work to reach a total of 30 hours for the week, we can set up the equation based on the information provided.

First, convert \( 21 \frac{1}{5} \) hours into an improper fraction:

\[ 21 \frac{1}{5} = \frac{21 \times 5 + 1}{5} = \frac{105 + 1}{5} = \frac{106}{5} \text{ hours} \]

Now we can write the equation representing the total hours worked:

\[ \frac{106}{5} + h = 30 \]

To solve for \( h \), we can subtract \( \frac{106}{5} \) from both sides. First, we convert 30 to a fraction with the same denominator:

\[ 30 = \frac{150}{5} \]

Now we rewrite the equation:

\[ h = \frac{150}{5} - \frac{106}{5} \]

Subtracting these fractions:

\[ h = \frac{150 - 106}{5} = \frac{44}{5} \]

Now, convert \( \frac{44}{5} \) back into a mixed number:

\[ \frac{44}{5} = 8 \frac{4}{5} \text{ hours} \]

Thus, Richard needs to work 8 \(\frac{4}{5}\) hours to reach his goal of 30 hours for the week.

Final Answer:

\[ 21 \frac{1}{5} + h = 30 \] \[ h = 8 \frac{4}{5} \]

Answer 6

Question
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 21 1/5
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.(1 point)

h+21 1/5=?
h=?

Answer 7

To find the number of hours \( h \) that Richard still needs to work to reach a total of 30 hours for the week, we can set up the following equation based on the information provided:

\[ h + 21 \frac{1}{5} = 30 \]

Now let's convert \( 21 \frac{1}{5} \) into an improper fraction:

\[ 21 \frac{1}{5} = \frac{21 \times 5 + 1}{5} = \frac{105 + 1}{5} = \frac{106}{5} \]

Now, substituting this into the equation:

\[ h + \frac{106}{5} = 30 \]

Next, we convert 30 to a fraction with the same denominator:

\[ 30 = \frac{150}{5} \]

Now, we can rewrite the equation as:

\[ h + \frac{106}{5} = \frac{150}{5} \]

To solve for \( h \), we subtract \( \frac{106}{5} \) from both sides:

\[ h = \frac{150}{5} - \frac{106}{5} \]

Subtracting these fractions gives us:

\[ h = \frac{150 - 106}{5} = \frac{44}{5} \]

Now, we can convert \( \frac{44}{5} \) back into a mixed number:

\[ \frac{44}{5} = 8 \frac{4}{5} \]

Thus, Richard needs to work 8 \(\frac{4}{5}\) hours to reach his goal of 30 hours for the week.

Final Answer:

\[ h + 21 \frac{1}{5} = 30 \] \[ h = 8 \frac{4}{5} \]