# Question Video: Solving Word Problems Involving Proportions Mathematics • 7th Grade

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

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### 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 𝑥 over four, where 𝑥 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 𝑥. Again 75 times four and three times 𝑥; they cross.

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