Joe and Andrew shot baskets in a school fair. Joe made 9 baskets, which is 2 baskets more than Andrew. Supply the correct numbers to complete the equation that can be used to determine the number of baskets, b , that Andrew made.(1 point)

Question

b + ___  = ____

Answer 1

Joe made 9 baskets, which is 2 baskets more than Andrew. If we let \( b \) be the number of baskets Andrew made, we can set up the equation as follows:

\[ b + 2 = 9 \]

So, filling in the blanks:

• The first blank will be 2.
• The second blank will be 9.

Thus, the completed equation is: \[ b + 2 = 9 \]

Answer 2

Moira needs a total of 2 1/4 hours to finish reading a book. Yesterday, she read for 1 7/8 hours. Supply the correct numbers to complete the equation that can be used to determine the number of hours, h, that Moira needs to read to finish the book.(1 point)
h +____   = ____

Answer 3

To find out how many more hours Moira needs to read to finish the book, we can set up the equation by subtracting the time she has already read from the total time needed.

1. Total time needed: \( 2 \frac{1}{4} \) hours
2. Time already read: \( 1 \frac{7}{8} \) hours

First, let's convert these mixed numbers into improper fractions.

1. \( 2 \frac{1}{4} = \frac{9}{4} \)
2. \( 1 \frac{7}{8} = \frac{15}{8} \)

Now we set up the equation where \( h \) is the time Moira still needs to read:

\[ h + \frac{15}{8} = \frac{9}{4} \]

To complete the equation, we can convert \( \frac{9}{4} \) to eighths to make the calculation easier:

\[ \frac{9}{4} = \frac{18}{8} \]

Now the equation looks like:

\[ h + \frac{15}{8} = \frac{18}{8} \]

So, filling in the blanks, we have:

• The first blank will be \( \frac{15}{8} \).
• The second blank will be \( \frac{18}{8} \) (or we can convert it back to hours as \( 2 \frac{1}{4} \)).

Thus, the completed equation is:

\[ h + \frac{15}{8} = \frac{18}{8} \]

Answer 4

Make both answers into mixed numbers

Answer 5

Sure! Let's convert the improper fractions back into mixed numbers.

1. For \(\frac{15}{8}\):

   • Divide 15 by 8.
   • \(15 \div 8 = 1\) with a remainder of 7.
   • So, \(\frac{15}{8} = 1 \frac{7}{8}\).

2. For \(\frac{18}{8}\):

   • Divide 18 by 8.
   • \(18 \div 8 = 2\) with a remainder of 2.
   • So, \(\frac{18}{8} = 2 \frac{2}{8} = 2 \frac{1}{4}\) (simplifying \(\frac{2}{8}\) to \(\frac{1}{4}\)).

Now we can reformulate the equation using mixed numbers:

\[ h + 1 \frac{7}{8} = 2 \frac{1}{4} \]

So, filling in the blanks with mixed numbers:

• The first blank will be \(1 \frac{7}{8}\).
• The second blank will be \(2 \frac{1}{4}\).

Thus, the completed equation is:

\[ h + 1 \frac{7}{8} = 2 \frac{1}{4} \]

Answer 6

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. (1 point)
h + 17 = _____ 

h = ____

Answer 7

To determine how many more hours Tyrell needs to volunteer to reach his goal, we can set up the equation as follows:

1. Tyrell's goal: 26 hours
2. Hours already volunteered: 17 hours

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

\[ h + 17 = 26 \]

Now we can solve for \( h \):

1. Subtract 17 from both sides of the equation: \[ h = 26 - 17 \]
2. Simplifying that gives us: \[ h = 9 \]

So, filling in the blanks:

• The right side of the equation is 26.
• The value of \( h \) is 9.

Thus, the completed equations are:

\[ h + 17 = 26 \]

\[ h = 9 \]

Answer 8

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. (1 point)
b − 1 =  _______

        b = _____ balloons

Answer 9

To find out how many balloons \( b \) Alexa popped, we know from the problem statement that Krista popped 6 balloons, which is 1 balloon less than the number of balloons popped by Alexa. We can set up the equation as follows:

1. Since Krista popped 6 balloons, and that is 1 less than what Alexa popped, we can express this relationship as: \[ b - 1 = 6 \]

Now, let's solve the equation for \( b \):

1. Add 1 to both sides of the equation: \[ b = 6 + 1 \]
2. Simplifying that gives us: \[ b = 7 \]

So, filling in the blanks:

• The right side of the first equation \( b - 1 = \) is 6.
• The value of \( b \) is 7.

Thus, the completed equations are:

\[ b - 1 = 6 \]

\[ b = 7 \text{ balloons} \]

Answer 10

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 = _____ hours

Answer 11

To find out how many hours \( h \) Richard still needs to work to reach his weekly goal of 30 hours, we can set up the equation as follows:

1. Total hours to work in a week: 30 hours
2. Hours worked in the first three days: 21 \( \frac{1}{5} \) hours

We'll express the equation representing the number of additional hours \( h \) that Richard needs to work:

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

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

1. Convert \( 21 \frac{1}{5} \) to an improper fraction for easier calculation: \[ 21 \frac{1}{5} = \frac{21 \times 5 + 1}{5} = \frac{105 + 1}{5} = \frac{106}{5} \]

2. Substitute that into the equation: \[ h + \frac{106}{5} = 30 \]

3. To isolate \( h \), subtract \( \frac{106}{5} \) from both sides. First, convert 30 to a fraction with a common denominator of 5: \[ 30 = \frac{150}{5} \]

4. Now the equation looks like this: \[ h + \frac{106}{5} = \frac{150}{5} \] Subtracting gives: \[ h = \frac{150}{5} - \frac{106}{5} \]

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

6. Convert \( \frac{44}{5} \) back to a mixed number:

   • Dividing 44 by 5 gives 8 with a remainder of 4, so: \[ h = 8 \frac{4}{5} \]

So, filling in the blanks:

• The right side of the first equation \( h + 21 \frac{1}{5} = \) is 30.
• The value of \( h \) is 8 \( \frac{4}{5} \) hours.

Thus, the completed equations are:

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

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