Valerie and Robbie are playing a number game.
Valerie tells Robbie, "I'm thinking of a number between 1 and 50. If I divide the number by 4, then add 5, then subtract 6, I get 6."
What number is Valerie thinking of?
Read the problem below. Use the work backward strategy to find the answer.
Valerie and Robbie are playing a number game.
Valerie tells Robbie, "I'm thinking of a number between 1 and 50. If I divide the number by 4, then add 5, then subtract 6, I get 6."
What number is Valerie thinking of?
Type your answer...
1 answer
Let's work backward from the equation Valerie provided. We know that after performing the operations on her number, the result is 6.
Start from the result: \[ \text{Result} = 6 \]
Valerie subtracts 6 from her previous result: \[ \text{Before subtracting 6} = 6 + 6 = 12 \]
Then, Valerie adds 5: \[ \text{Before adding 5} = 12 - 5 = 7 \]
Finally, Valerie divides her original number by 4: \[ \text{Original number} = 7 \times 4 = 28 \]
So, the number Valerie is thinking of is 28.
