HSPT Math : Problem Solving
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Example Questions
Example Question #501 : Problem Solving
Marcia is four times as old as her daughter Janice. In twelve years, Janice will be 20 years old. In how many years will Marcia be three times as old as Janice?
Janice will be 20 years old in 12 years, so she is 
Let 
Example Question #502 : Problem Solving
Greg, a barista at a coffeehouse, has to mix two types of coffeebeans together - Strawberry Dream and Vanilla Madness - to produce eighty pounds of a new flavor.
The Strawberry Dream beans cost $9 per pound; the Vanilla Madness beans cost $14 per pound. The new blend will cost $12 per pound, with the beans costing the same as if they were still separate.
Let 
The total cost of beans is the price per pound times the number of pounds. The total cost of the mixture is equal to that of the Strawberry Dream beans and that of the Vanilla Madness beans. Each can be found by multiplying the cost per pound by the number of pounds:
Strawberry Dream:
Vanilla Madness: 
Total mixture:
Add to get the equation:
Example Question #503 : Problem Solving
There are 
Example Question #25 : How To Simplify An Expression
The sum of the number of pennies and nickels equals 70 and the total dollar amount of the change equals $1.50. How many nickels and pennies are there?
Assume there are x pennies. Hence the number of nickels is 
Now you have to set up an equation for the dollar value of the pennies and nickels which will be 
Now solving for 
Example Question #21 : How To Do Other Word Problems
A box used for shipping goods is 
A box is a rectangular prism that has a length, width, and height dimension.
The volume of a box is:
Substitute the values into the formula.
Example Question #502 : Hspt Mathematics
A Special Pizza at Kelly's Deli has four different toppings; the customer can choose any two meats from pepperoni, sausage, hamburger, and anchovy, and any two vegetables from mushrooms, onions, black olives, green olives, tomatoes, and green peppers.
Kathy wants to order a Special Pizza; she is allergic to green peppers. How many possible pizzas can she order if she must restrict herself accordingly?
There are four meats from which to choose two; the number of ways to do this is
There are five vegetables from which Kathy can choose two (six minus the one to which Kathy is allergic); the number of ways to do this is
The number of ways to make a Special Pizza that leaves out green peppers is
Example Question #501 : Hspt Mathematics
A Special Pizza at Monorail Deli has four different toppings; the customer can choose any one meat from pepperoni, sausage, hamburger, and anchovy, and any two vegetables from mushrooms, onions, black olives, green olives, tomatoes, and green peppers. The fourth topping can be a meat or a vegetable.
Clara wants to order a Special Pizza; however, she does not like pepperoni, and she is allergic to onions. How many possible ways can four toppings be chosen for a Special Pizza in order to meet Clara's specifications?
Clara has three meats from which to choose (the four available, minus the one she will not eat); she has five vegetables from which to choose (the six available minus the one to which she is allergic). She can do one of the following:
Case 1: She can choose one meat and three vegetables.
She can choose one of three meats.
She can choose three of five vegetables; the number of ways to do so is
The number of possible pizzas with one meat and three vegetables is
Case 2: She can choose two meats and two vegetables.
She can choose two of three meats. There are three ways to do this, since choosing two meats means leaving one out; there are three ways to choose which meat to leave out.
She can choose two of five vegetables; the number of ways to do so is
The number of possible pizzas with two meats and two vegetables is
The total number of combinations of toppings from which Clara can choose is
Example Question #504 : Problem Solving
Rent in Melissa's apartment is $575 per month. The rent is due on the fifth of the month, and Melissa must pay $25 penalty per day late.
Melissa moved into the apartment on February 15 and agreed to pay a prorated rent of $250 for February. She also paid a $300 security deposit. For the remainder of the year, she paid the regular rent on the first of each month, except for October, when she paid on the fourth of the month. Calculate the amount of money she paid the apartment complex in 2014, including the security deposit and any penalties.
Melissa paid $575 rent for each month from March to December - ten months - for a total of
Add to this her prorated February rent and her security deposit (she was not late with any rent payments, hence no penalties); Melissa paid
Example Question #509 : Problem Solving
Rent in Henry's apartment is $645 per month. The rent is due on the fifth of the month, and Henry must pay $20 penalty per day late.
In 2014, Henry paid the rent on time each month except in November, when he paid the rent on November 8. How much rent did Henry pay for the year, including the penalty for November?
Henry's rent is $645 per month; multiply this by 12 to get yearly rent before the penalty.
Henry paid his November rent three days late, so multiply the daily penalty of $20 by 3 to get the total penalty.
Add the regular yearly rent and the November penalty:
Example Question #510 : Problem Solving
Consider the sequence
What number replaces the square?
The increment that is added to each successive term to obtain the next term is doubled each time.
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