The difference in cost is $8 (40 – 32). The sale percentage can be found by figuring out this question: 8 is what percentage of 40? 8/40 = 0.20, or a 20% discount. You can check this. 40 * 0.20 = 8.

40 – 8 = 32

If the average score was 85, we know that the total points earned by the 5 students must be 85 * 5 or 425 points.  Upon adding two new scores, we know that the formula for the average will be:

(425 + x) / 7 = 88, where x stands for the combined points earened by the two new students.

Solve for x: 425 + x = 616; x = 191

This means that both students must score 191 points total.  If this is the case, we can assume that one student earns the maximum points, i.e. 100.  This will provide the minimum amount that could be earned by the other: 191 – 100 = 91.

Given his waste rate, the baker would waste 22 holes. That is the equivalent 3 ²/₃ bags; however, since that would leave him with a ¹/₃ of a bag, the waste really is 4 bags of holes. He therefore fails to make 4 * 0.5 or $2 on this batch of 22 dozen doughnuts and holes.

The sum cost of housing and tutition is $6199.24. To find the percentage of the loan that equals $6199.24, we can set up the equation:

Percentage = .

We then round the percentage to 77.5%.

To earn a 70%, Mike needs to correctly answer 21 questions (70% of 30). So far, he has answered 12 questions correctly (60% of 20).

Therefore, on the last 10 questions he needs  correct answers.

which equals 90%.

For this problem, we must figure out what % alcohol the 10 gallon combined mixture contains.  We know that 4 gallons of 15% alcohol is mixed together with 6 gallons of 45% alcohol.

First we will break down how much alcohol content is within the 4 gallons of 15% alcohol.  .  This means that of the 4 gallons, 0.6 gallons can be considered pure alcohol.

Next, we will break down how much alcohol content is in the 6 gallons of 45% alcohol.  .  This means that of the 6 gallons, 2.7 gallons can be considered pure alcohol.

Therefore, the 10 gallon mixture of both mixtures now contains  of pure alcohol. To find the % alcohol content, we simply divide the amount of pure alcohol by the total volume,  or 33% alcohol.

To solve this problem, we must first add up the ages of all his sons.

. The combined age of his three sons is currently .

The problem states that in , the combined age of the man's three sons will be  of his age.

Therefore we add  to all his sons ages and sum them up once again.

. In , the combined age of his three sons will be .

Now to find what number  is  of, we simply divide  by , . This means that in , the man will be  old. To find how old the man is currently, we simply subtract  from , this means that the man is currently  old.

To attempt this problem, translate the statements into mathematical equations.  When you see the word 'is', it very often means 'equals:

  is 30 percent of 410

 is 25 precent of 480

Quantity A is greater.

To attempt this problem, translate the statements into mathematical equations.  When you see the word 'is', it very often means 'equals:

30 is  percent of 210:

20 is  percent of 160:

Since Quantity A has the smaller denominator with an equivalent numerator, it is the larger value. Quantity A is greater.

To attempt this problem, translate the statements into mathematical equations.  When you see the word 'is', it very often means 'equals:

 is 25 percent of 80:

13 is  percent of 65:

The two quantities are equal.