# Video: Interpreting Word Problems to Write Three-Step Expressions with Parentheses

A baker made 100 muffins and 120 cupcakes. He sold the muffins for \$1.75 each and the cupcakes for \$2.50 each. Write an expression for the amount of money he made without doing any calculations.

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### Video Transcript

A baker made 100 muffins and 120 cupcakes. He sold the muffins for one dollar and 75 cents each and the cupcakes for two dollars and 50 cents each. Write an expression for the amount of money he made without doing any calculations.

So we know that the baker made 100 muffins and 120 cupcakes. The muffins were sold for one dollar and 75 cents a piece. And the cupcakes were sold for two dollars and 50 cents a piece. And we are asked to write an expression for the amount of money he made without doing any calculations. So we need to take the price and multiply it by the number of either cupcakes or muffins that were sold and then add those together.

So let’s represent an expression for the amount of money the baker would make for the muffins. So we take 100 muffins times their price, 1.75. Now let’s do the same for the cupcakes. 120 cupcakes were sold. And they cost two dollars and 50 cents a piece. So we needed to take 120 times two dollars and 50 cents, 2.50. And then, we would add these expressions together to represent the amount of money he would’ve made in total.

So without doing any calculations, so no simplifying, no plugging in any numbers into our calculator, we would get the expression for the amount of money he made would be 100 times 1.75 plus 120 times 2.50.