posted by Jessica on .
The larger of two numbers is 23. if three times the number is 5 more than eight times the smaller, find the smaller number.
Many students have difficulty translating an inequation into an equation.
Sometimes it helps to rephrase the statement into something like ...
"three times the number is more than 8 times the smaller by 5"
3(23) > 8x by 5
so add 5 to the smaller side and it becomes an "equation"
3(23) = 8x+5
69-5 = 8x
x = 8
the smaller number is 8