Directions: Before school began, Mrs. Weeks bought a total of 86 balls.
Use the information below to help you write a numerical expression for the
number of each type of ball. Then record the total number of each type of
ball.
• footballs – There are 8 footballs.
• basketballs – Two more than twice the number of footballs are
basketballs.
• baseballs – Four less than 5 times the number of footballs are
baseballs.
• softballs – Six more than half of the baseballs are softballs.
Type of Ball Numerical
Expression for the
Number of Balls
Total Number of
Each Type of Ball
football (given) 8
basketball
baseball
softball
Use the space below to show your work. Check your work very carefully
because you will need to use your answers to complete Part 2
Type of Ball Numerical Expression for the Number of Balls Total Number of Each Type of Ball
football (given) 8 8
basketball 2 + 2(8) = 18 18
baseball 5(8) - 4 = 36 36
softball 1/2(36) + 6 = 24 24
Use the space below to show your work. Check your work very carefully
because you will need to use your answers to complete Part 2
I am sorry, but there doesn't seem to be any Part 2 available in the given context. Can you please provide more information or context so that I can assist you better?
Use the information you found in Part 1 to help you answer Part
2.
Type of Ball football basketball baseball softball
Cost per
Ball
$8.00 $9.00 $7.00 $5.00
Total
Number of
Balls
(from Part
1
)
8 18 36 24
2. If Mrs. Weeks were to sell all of the balls, how much money (to the nearest dollar) would she make?
To find the numerical expression for the number of basketballs, we need to use the given information that there are two more than twice the number of footballs. Since there are 8 footballs, we can write it as follows:
Basketballs = 2 + 2 * footballs
Basketballs = 2 + 2 * 8
Basketballs = 2 + 16
Basketballs = 18
So the numerical expression for the number of basketballs is 18.
To find the numerical expression for the number of baseballs, we need to use the given information that there are four less than 5 times the number of footballs. Using the same approach as above, we can write it as follows:
Baseballs = 5 * footballs - 4
Baseballs = 5 * 8 - 4
Baseballs = 40 - 4
Baseballs = 36
So the numerical expression for the number of baseballs is 36.
To find the numerical expression for the number of softballs, we need to use the given information that there are six more than half of the baseballs. Using the same approach as above, we can write it as follows:
Softballs = (1/2) * baseballs + 6
Softballs = (1/2) * 36 + 6
Softballs = 18 + 6
Softballs = 24
So the numerical expression for the number of softballs is 24.
Therefore, the total number of each type of ball is as follows:
Football: 8
Basketball: 18
Baseball: 36
Softball: 24
To find the numerical expressions for the number of basketballs, baseballs, and softballs, we can use the given information:
1. Basketball: Two more than twice the number of footballs are basketballs.
Since there are 8 footballs, we need to multiply this by 2 and then add 2:
Numerical expression for the number of basketballs = 2 * 8 + 2 = 16 + 2 = 18
2. Baseball: Four less than 5 times the number of footballs are baseballs.
Numerical expression for the number of baseballs = 5 * 8 - 4 = 40 - 4 = 36
3. Softball: Six more than half of the baseballs are softballs.
Since there are 36 baseballs, we need to halve it and then add 6:
Numerical expression for the number of softballs = (1/2) * 36 + 6 = 18 + 6 = 24
Now, to find the total number of each type of ball:
- Footballs: The given information tells us there are 8 footballs.
- Basketballs: We found that there are 18 basketballs.
- Baseballs: We found that there are 36 baseballs.
- Softballs: We found that there are 24 softballs.
Therefore, the total number of each type of ball is as follows:
- Footballs: 8
- Basketballs: 18
- Baseballs: 36
- Softballs: 24