1. When Mrs. Weeks bought all of the baseballs and softballs, she paid

for them using four $100.00 bills. How much change did she receive?

2. Write expressions that include parentheses and order of operations to

show how to find the answer. Show your work.

3. After school began, Mrs. Weeks realized that she needed more

basketballs and footballs. If she spent $135.00 on basketballs and

$48.00 on footballs, how many more balls did she purchase?

4. Write expressions the include parentheses and order of operations to

show how to find the answer. Show your work.

1) $104

2) 7(28) + 5(20) + c= 4(100)

3) 21 more balls

4) (135/9) + (48/6)

Step-by-step explanation:

The question is incomplete. The total number of balls wasn't stated neither was the cost of each ball.

To determine the answers to the questions above, Let's look at the following question:

Type of Ball:

football basketball baseball softball

Cost per Ball:

$8.00 $9.00 $7.00 $5.00 respectively

Total Number of Balls: 32 36 28 20 respectively

1. When Mrs. Weeks bought all of the baseballs and softballs, she paid for them using four $100.00 bills. How much change did she receive?

2. Write expressions that include parentheses and order of operations to show how to find the answer. Show your work.

3. After school began, Mrs. Weeks realized that she needed more

basketballs and footballs. If she spent $135.00 on basketballs and

$48.00 on footballs, how many more balls did she purchase?

4. Write expressions the include parentheses and order of operations to show how to find the answer. Show your work.

Solution:

Total number of balls = 32+36+28+20 = 116

Cost per ball for football = $8.00

Cost per ball for basketball =$9.00

Cost per ball for baseball =$7.00

Cost per ball for softball =$5.00

1) number of balls for baseball = 28

number of balls for softball = 20

Cost of 28 baseball = 28(7) = $196

Cost of 20 baseball = 20(5) = $100

She paid with = four $100.00 bills

= 4×100 = 400

Change she received = 400-(100+196) = 400-296

= $104

2) 7(28) + 5(20) + c= 4(100)

Where c = the change she collected

196 + 100 +c = 400

296 + c = 400

c = 400-296

c = $104

3) she spent $135.00 on basketballs

$48.00 on footballs

Number of basketballs bought = 135/9

= 15 basketballs

Number of footballs bought = 48/8

= 6 footballs

Total number of balls purchased = 15+6 = 21

She purchased 21 more balls

4) (135/9) + (48/6)

Differences Between Rational and Irrational Numbers

The difference between rational and irrational numbers can be drawn clearly on the following grounds

1.Rational Number is defined as the number which can be written in a ratio of two integers. An irrational number is a number which cannot be expressed in a ratio of two integers.

2.In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction.

3.The rational number includes numbers that are perfect squares like 9, 16, 25 and so on. On the other hand, an irrational number includes surds like 2, 3, 5, etc.

4.The rational number includes only those decimals, which are finite and repeating. Conversely, irrational numbers include those numbers whose decimal expansion is infinite, non-repetitive and shows no pattern.

After reviewing the above points, it is quite clear that the expression of rational numbers can be possible in both fraction and decimal form. On the contrary, an irrational number can only be presented in decimal form but not in a fraction. All integers are rational numbers, but all non-integers are not irrational numbers.