Question Video: Solving Word Problems Involving Proportions | Nagwa Question Video: Solving Word Problems Involving Proportions | Nagwa

# Question Video: Solving Word Problems Involving Proportions Mathematics

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 ๐ฅ over four, where ๐ฅ is the number of words weโ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 ๐ฅ. Again 75 times four and three times ๐ฅ; they cross.

75 times four is 300 and three times ๐ฅ is three ๐ฅ. Now in order to solve for ๐ฅ, we need to get rid of three. Therefore, we must divide both sides by three. Therefore, ๐ฅ equals 100. So what does that mean? This means Gloria can type 100 words in four minutes.

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