Write a word problem involving fractions for which you would use the work backward strategy and addition to solve.Include your solution.
Sure! Here's a word problem that involves fractions and requires the work backwards strategy and addition.
Word problem: Sarah has 2/3 of a pizza left. She wants to share it equally among herself and her two friends. How much pizza should each person get?
Step 1: Identify the desired outcome.
In this problem, we need to determine how much pizza each person should get, so our desired outcome is the amount of pizza per person.
Step 2: Work backward from the desired outcome.
Since we want to find the amount per person, we need to find the total amount of pizza first. To do this, we will work backward by multiplying the number of people by the desired amount per person.
Step 3: Set up the equation.
Let's assume that the amount of pizza each person gets is x. We have 2/3 of a pizza to share equally among 3 people, so the total amount of pizza is also 2/3. We can set up the equation: x * 3 = 2/3.
Step 4: Solve the equation.
To solve the equation, we can multiply both sides by 3 to get rid of the denominator: 3x = 2/3 * 3. Simplifying, we have 3x = 2/1, which means 3x = 2.
Step 5: Find the value of x.
To find the value of x, we need to isolate the variable. By dividing both sides by 3, we get x = 2/3 divided by 3, which simplifies to x = 2/9.
Solution: Each person should get 2/9 of a pizza.