Directions: Using the numbers 0 through 9, fill in the boxes to create a correct number sentence using each number as many times as you want.

### Hint

### Hint

This problem could also be stated, “x is 50% of y and 75% of z”. Start by considering x is 50% of y. What numbers satisfy this relationship? What do you notice about these numbers. Now consider that x is also 75% of z. What do you know about numbers that must be 1/2 of a number and also 3/4 of a number?

### Answer

### Answer

There are 17 different solutions to this question. A few of these are: 6 is 50% of 12 and 75% of 8

15 is 50% of 30 and 75% of 20

21 is 50% of 42 and 75% of 28

42 is 50% of 84 and 75% of 56

There are 4 different solutions to the challenge question:

18 is 50% of 36 and 75% of 24

27 is 50% of 54 and 75% of 36

36 is 50% of 72 and 75% of 48

39 is 50% of 78 and 75% of 52

15 is 50% of 30 and 75% of 20

21 is 50% of 42 and 75% of 28

42 is 50% of 84 and 75% of 56

There are 4 different solutions to the challenge question:

18 is 50% of 36 and 75% of 24

27 is 50% of 54 and 75% of 36

36 is 50% of 72 and 75% of 48

39 is 50% of 78 and 75% of 52

Extension/Challenge: Try to create this number sentence using each digit no more than once.

Source: Erick Lee