The number of stampsthat Kaye and Alberto had were in the ratio 5 : 3, respectively. After Kaye gave Alberto 10 of her stamps, theratio of the number Kaye had to the number Alberto had was 7 : 5. As a result of this gift, Kaye had how manymore stamps than Alberto?

The number 75 can bewritten as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?

The manager of atheater noted that for every 10 admission tickets sold, the theater sells 3bags of popcorn at $2.25 each, 4 sodas at $1.50 each, and 2 candy bars at $1.00each. To the nearest cent, what is theaverage (arithmetic mean) amount of these snack sales per ticket sold?

For how many integersn is ~$2^{n}=n^{2}$~ ?

If in a certainpopulation, people are born at an average rate of 9 people every 2 seconds andpeople die at an average rate of 3 people every 2 seconds, by approximately howmany people does the population increase in 1 day?

For which of the following functions is ~$f\left ( a+b \right )=f\left ( a \right )+f\left ( b \right )$~ for all positive numbers a and b ?

Alice's take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take-home pay that she did not save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?

Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $3 per page each time a page is revised. If a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?

In the graduatingclass of a certain college, 48 percent of the students are male and 52 percentare female. In this class 40 percent ofthe male and 20 percent of the female students are 25 years old or older. If one student in the graduating class israndomly selected, approximately what is the probability that he or she will beless than 25 years old?

If n is a multiple of5 and ~$n=\left ( p^{2} \right )q$~, where p and q areprime numbers, which of the following must be a multiple of 25 ?