A bakery has three types of pie: apple, cherry, and peach. There are four times as many apple pies as peach pies. What is a possible percentage for each type of pie? Fill in the table and explain or show your work below. (Hint: There are multiple correct answers for this problem)

The purpose of this task is to help students see the connection between a÷b and ab in a particular concrete example. The relationship between the division problem 3÷8 and the fraction 38 is actually very subtle.

3÷8 is the number you multiply 8 by to get 3.

38 is the number you get by taking 3 copies of the unit fraction 18.

So 3÷8 is defined in terms of multiplication, and 38 is defined in terms of unit fractions. It is not obvious that these two numbers are the same, so students need opportunities to see that they will necessarily always be the same. Note that if b people share a pies equally, then each person will get ab of a pie by the same kind of reasoning shown in the solution below.

This task is probably best suited for instruction or formative assessment.

Step-by-step explanation:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: