Question

If anyone can help me with this, please feel free to answer

Pam has 15 candies in a jar, her sister threw in some more ( the ones she doesn’t like) and now Pam has 27. Write an equation to determine how many candies ( x) her sister put in the jar. Solve using both inverse operations and balance scale.

Answer 1

Explanation:

Number of candies that her sister gave = x

Total candies that Pam has now = 27

x + 15 = 27

Inverse operation:

x + 15 = 27

x + 15 - 15 = 27 - 15

x = 12

Answer 2

Equations :

27 - 15 = x

15 + x = 27

Explanation:

So, we know that 1. Pam starts with 15 candies. and 2. Pam ends up having 27 candies. This means, that she gained candy.

To figure out how many candies her sister gave, her, we have to find the difference between 27 and 15 becuase she goes from having 15 to having 27 after her sister had given some.

x will represent how many cadies Pams' sister had given her :

27 - 15 = x

12 = x

This means Pams' sister gave 12 candies to Pam. To make sure we are correct, we can simply start with how many candies Pam started with (15). And add how many we think her sister added (12)

15 + 12

15 + 12 = 27

Therefore proving, and meaning, that Pams' sister gave her 12 candies.

Possible Equations :

27 - 15 = x

End total (27) minus starting total (15).

15 + x = 27

Starting total (15) plus how many she gained (x) equal to end total (27).