Increasing/Decreasing by a Percent - 11
Some money problems involve one quantity divided into two investments paying different interest rates. Such questions are phrased ‘‘How much was invested at ___%?’’ or ‘‘How much was invested at each rate?’’
Some money problems involve one quantity divided into two investments paying different interest rates. Such questions are phrased ‘‘How much was invested at ___%?’’ or ‘‘How much was invested at each rate?’’
Alfi Blog Maret 17, 2026 Admin Bandung IndonesiaCoin problems are also common algebra applications. Usually the total number of coins is given as well as the total dollar value. The question is normally ‘‘How many of each coin is there?’’
Let x represent the number of one specific coin and put the number of other coins in terms of x. The steps involved are:
Alfi Blog Maret 16, 2026 Admin Bandung IndonesiaIncreasing/Decreasing by a Percent - 10
Coin problems are also common algebra applications. Usually the total number of coins is given as well as the total dollar value. The question is normally ‘‘How many of each coin is there?’’
Let x represent the number of one specific coin and put the number of other coins in terms of x. The steps involved are:
Grade computation problems are probably the most useful to students. In these problems, the formula for the course grade and all but one grade are 224 given. The student is asked to compute the unknown grade in order to ensure a particular course average.
Alfi Blog Maret 15, 2026 Admin Bandung IndonesiaIncreasing/Decreasing by a Percent - 9
Grade computation problems are probably the most useful to students. In these problems, the formula for the course grade and all but one grade are 224 given. The student is asked to compute the unknown grade in order to ensure a particular course average.
The smaller number is 4 and the larger is 11 – x == 11 – 4 = 7.
Algebra students are often asked to compute people’s ages. The steps I solving such problems are usually the same as those used above.
Alfi Blog Maret 14, 2026 Admin Bandung IndonesiaIncreasing/Decreasing by a Percent - 9
The smaller number is 4 and the larger is 11 – x == 11 – 4 = 7.
Algebra students are often asked to compute people’s ages. The steps I solving such problems are usually the same as those used above.
Examples
The
difference between two numbers is 13. Twice the smaller plus three times the
larger is 129.
If the difference between two numbers is 13, then one of the numbers is 13 more than the other. The statement ‘‘The difference between two numbers is 13,’’ could have been given as, ‘‘One number is 13 more than the other.’’ As before, let x represent the first number. Then, x + 13 represents the other. ‘‘Twice the smaller’’ means ‘‘2x’’ (x is the smaller quantity because the other quantity is 13 more than x). Three times the larger number is 3(x + 13). ‘‘Twice the smaller plus three times the larger is 129’’ becomes 2x + 3(x + 13) = 129.
Alfi Blog Maret 13, 2026 Admin Bandung IndonesiaIncreasing/Decreasing by a Percent - 8
Examples
The
difference between two numbers is 13. Twice the smaller plus three times the
larger is 129.
If the difference between two numbers is 13, then one of the numbers is 13 more than the other. The statement ‘‘The difference between two numbers is 13,’’ could have been given as, ‘‘One number is 13 more than the other.’’ As before, let x represent the first number. Then, x + 13 represents the other. ‘‘Twice the smaller’’ means ‘‘2x’’ (x is the smaller quantity because the other quantity is 13 more than x). Three times the larger number is 3(x + 13). ‘‘Twice the smaller plus three times the larger is 129’’ becomes 2x + 3(x + 13) = 129.
