A Man Goes To A Casino With $125. He Loses $30 On Blackjack, Then Loses Another $40 On Roulette. How Much Money Does He Have Left?

There are two pizza ovens in a restaurant. Oven 1 burns three times as many pizzas as Oven 2. If the restaurant had a total of 12 burnt pizzas on Saturday, how many pizzas did Oven 2 burn?

3

Begin by expressing the relationship between the ovens with an equation. Use a variable to represent the number of burnt pizzas.
For every x pizzas burnt by Oven 2, Oven 1 burns 3x pizzas. It is given that 12 total pizzas are burnt, and the total number of burnt pizzas is a combination of pizzas burnt by Oven 1 and Oven 2:
x + 3x = 12
4x = 12
x = 3.
The variable x represents the number of pizzas burnt by Oven 2, so answer is 3 pizzas.

Every day, Bert spends an hour commuting to and from his office, driving at an average speed of 50 mph and taking the same route each way. How far does Bert live from his office?

25 miles

Use the distance formula, where d stands for distance, r stands for the (constant or average) rate of speed, and t stands for time. Remember that his total commute is 1 hour, so one-way, it will be 0.5 hours. d=rt
d = 50(0.5)
d = 25.

Which of the following numbers is divisible by 3?

85,019,457

If the sum of the digits of a number is divisible by 3, then the number itself is divisible by 3.
8 + 5 + 0 + 1 + 9 + 4 + 5 + 7 = 39.
39 divided by 3 is 13 with no remainders, so the number is divisible by 3.

A man goes to the grocery store. He buys a carton of milk for $4.50, a dozen eggs for $2.25, and a pound of ground beef for $1.99. If the tax is 15%, what will his total bill be?

$10.05

First, calculate the total value of the man’s purchases before tax:
$4.50 + $2.25 + $1.99 = $8.74
Then, calculate the amount of tax he will have to pay: 8.74×0.15 = 1.31
Finally, add these two values to get his total bill: $8.74 + $1.31 = $10.05

Laura goes to the grocery store every 5 days and Tim goes to the same grocery store every 6 days. If Laura and Tim both went to the grocery store today, when is the next time they will both go to the grocery store on the same day?

30 days

To solve this problem, you must find the least common multiple of 5 and 6, which is the smallest multiple common to both numbers. To do this, make a list of multiples for each number until at least two multiples are on both lists. 5: 5, 10, 15, 20, 25, 30… 6: 6, 12, 18, 24, 30… The lowest common multiple of both numbers is 30.

Four tons of gravel weigh how many pounds?

8000

One ton = 2,000 pounds. Therefore, 4 tons = 8,000 pounds.

Which of the following is equivalent to 2 times the total of x plus y?

2x + 2y

2 times the total of x plus y is 2(x + y). From there, use the Distributive Property to multiply the 2 by each term inside the parenthesis. 2(x + y) = 2x + 2y.

Which of the following is an integer?

-9

An integer is any positive or negative whole number or zero. Therefore, -9 is an integer. $ \frac{\mathrm{3} }{\mathrm{4} } $ and 0.5 are not integers because they are not whole numbers. The square root of 42 is approximately 6.48 and therefore not an integer.

Steve bought a total of 6 packages of pens, and each package contained either 3 or 7 pens. If exactly 4 of the packages Steve bought contained 7 pens, how many pens did Steve buy?

34

If Steve bought 4 packages of 7 pens and 6 packages total, then he must have purchased 2 packages of 3 pens : 4 * 7 + 2 * 3 = 28 + 6 = 34.

The absolute value of the quantity of 5 plus a number equals 10. Which of the following options is the correct solution set for the above equation?

{-15, 5}.

The absolute value of 5 plus a number equals 10 should be written as $[|5+x|=10]$. Absolute value means the distance of a number from zero, so whenever you solve for the number inside absolute value bars, you must consider both the positive and negative values. Take away the bars and set the expression equal to both 10 and -10. 5 + x = 10 gives you x = 5, and 5 + x = -10 gives you x = -15. The solution set is x = {-15, 5}.

Each year, a cyber café charges its customers a base rate of $25, with an additional $0.30 per visit for the first 50 visits, and $0.10 for every visit after that. How much does the cyber café charge a customer for a year in which 72 visits are made?

42.20

Translate the information into arithmetic. The café charges $25 + $0.30 (first 50) + $0.10(x) (x is additional visits after 50). For 72 visits there are 50 visits with an additional 22 visits.
=$25 + $0.30(50) + $0.10(22)
=$25 + $15 + $2.20
=$42.20.

A man goes to a casino with $125. He loses $30 on blackjack, then loses another $40 on roulette. How much money does he have left?