When one-fourth of a number is added to one-third of the same number, the result is 28. What is the number?
I am a student, in grade 10.
The problem with quarters and thirds is that you can't add them directly. On the measuring cup I use for baking there is a scale that tells me one-fourth of a cup and another that tells me one-third of a cup but no scale that allows me to measure one-third of a cup plus one-fourth of a cup. I know that 3 x 4 = 12 so if there were a scale that measured twelfths of a cup I could do it. One-fourth is three-twelfths and one-third is four-twelfths so
You don't have cups but the idea is the same. There some unknown number you need to find. In order to talk about this number give it a name. Call it x. What you then know is that
Now since 4 x 7 = 28,
Now you should check, does one-fourth of a 48 added to one-third of 48 give 28?Cheers,