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Home > MC1 > Chapter 1 > Lesson 1.1.2 > Problem 1-14

1-14.

Maria was playing a game with her brother. She said, "I'm thinking of a number. When you multiply my number by six and add seven you get . What is my number?" Find Maria's number.

How big do you expect her number to be?
Can you think of a reasonable number to try?

Can you think of a number that might work better? Try it!

We now know that Maria's number is .

Pick a reasonable number and try Maria's steps. Let's try . If Maria multiplies this number by , she would get , then, adding , she would get .

Since is smaller than , let's choose a bigger number. Let's try . If Maria multiplies by , she would get . Adding , she would get . Since Maria gets by using this number, is the number she described.