Math Solve your Own Problems
Mo' Math Mo' Problems
100
By how many dollars do the sales in the meat department exceed the sales in the dairy department?
- A). $100
- B). $1,000
- C). $1,500
- D). $1,800
- E). $10,000
What is B?
Meat department sales = $2,500
Dairy department sales = $1,500
Difference = $1,000
100
ΔABC is a right triangle and \overline{\rm CD} ⊥ \overline{\rm AB}CD⊥AB . If the measure of ∠CAD = 40°, what is the measure of ∠DCB?
- A). 10°
- B). 20°
- C). 40°
- D). 60°
- E). 90°
What is C?
Since m∠ACB = 90° and m∠CAD = 40°, then m∠B = 180 − 90 − 40 = 50°. In BCD, m∠CDB = 90° and m∠B = 50°. Therefore,m∠DCB =
180 − 90 − 50 = 40.
200
A bed and breakfast charges $48.00 per day for a double room. In addition, there is 5% tax. How much does a couple pay for several days’ stay?
- A). $144.20
- B). $151.20
- C). $156.20
- D). $158.40
- E). Not enough information is given.
What is E?
You cannot compute the cost unless you are told the number of days that the couple stays at the bed and breakfast. This information is not
given.
200
At a luncheon, 48 half-pints of fruit juice are served. What is the cost, at $3.50 per gallon, of these servings of fruit juice?
- A). $6.00
- B). $7.00
- C). $10.50
- D). $15.50
- E). $17.50
What is C?
48 half-pints = 24 pints. Since 8 pt. = 1 gal., 24 pt. = 3 gal., 3($3.50) = $10.50.
300
Henry has $5 more than Oliver, and the same amount of money as Murray. Together, they have $85. How much money does Oliver have?
- A). $10
- B). $20
- C). $25
- D). $45
- E). $55
What is C?
Set up an equation with Oliver’s money as the unknown, and solve. Oliver = x, Henry = 5 + x, and Murray = 5 + x. Therefore,
x + 2(5 + x) = 85
x + 10 + 2x = 85
3x + 10 = 85
3x = 75
x = 25
300
The gauge on a water tank shows that the tank is 1/3 full of water. In order to fill the tank, 16 gallons of water are added. How many gallons of water does the tank hold when full?
- A). 20
- B). 24
- C). 28
- D). 32
- E). 42
What is B?
If the tank is 1/3 full, it is 2/3 empty. Let x = the capacity of the tank; (2/3) x = 16, so x = 16 ÷ 2/3 =16 × 3/2= 24.
400
Given the equation x² + x − 6 = 0, which of the following give(s) a complete solution of the equation?
- A). 2
- B). 2 and −3
- C). −2 and 3
- D). 2 and 3
- E). 3 and −3
What is B?
If x is replaced by the answer choices, only 2 and −3 make the expression true.
(2)² + 2 − 6 = 0
4 + −4 = 00 = 0(−3)² + −3 − 6 = 0
9 + −3 − 6 = 0
9 + −9 = 0
0 = 0
400
What is the length in feet of the ramp?
- A). 11
- B). 17
- C). 20
- D). 22
- E). 31
What is C?
Let x = the length of the ramp. Use the Pythagorean theorem to obtain the equation: x² = 12² + 16² = 144 + 256 = 400
x = √400 = 20
500
Danny worked 40 hours and earned $6.30 per hour. His friend Erica earned $8.40 per hour at her job. How many hours would Erica have to work in order to equal Danny’s earnings for 40 hours?
- A). 20
- B). 50
- C). 30
- D). 258
- E). Not enough information is given.
What is C?
Danny earned a total of 40($6.30) = $252. To find the number of hours Erica would take to earn $252, divide $252 by $8.40.
500
Data from a Sanford C. Bernstein research study indicates that in a recent year, 9.6 billion cases of soft drinks were sold in the United States. The pie chart below summarizes the distribution of soft drink sales by location.
Based on the pie chart, the four largest locations for soft drink sales account for approximately what percentage of total soft drink sales in the year under consideration?
A. 68
B. 84
C. 95
D. 98
What is C?
The four largest locations are those taking up the four largest portions of the pie chart. Based on the pie chart, the four leading places for soft drink sales are grocery stores (44%), fountains (24%), gas stations (16%), and vending machines (11%); evaluate their sum to answer the question:
44% + 24% + 16% + 11% = 95%