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Video: Solving Word Problems Involving Proportions

Bethani Gasparine

Gloria can type 75 words in 3 minutes. Determine how many words she can type in 4 minutes.

01:21

Video Transcript

Gloria can type 75 words in three minutes. Determine how many words she can type in four minutes.

We can represent typing 75 words in three minutes as a ratio, where the words are our numerator and the minutes are our denominator. By setting this equal to π‘₯ over four, where π‘₯ is the number of words we’re trying to determine and four is the number of minutes, this is creating a proportion, where we will cross multiply and solve.

To cross multiply, you find the cross product. So we take 75 times four and three times π‘₯. Again 75 times four and three times π‘₯; they cross.

75 times four is 300 and three times π‘₯ is three π‘₯. Now in order to solve for π‘₯, we need to get rid of three. Therefore, we must divide both sides by three. Therefore, π‘₯ equals 100. So what does that mean? This means Gloria can type 100 words in four minutes.