Question

Mindy and Troy combined ate 9 pieces of the wedding cake. Mindy ate 3 pieces of cake and Troy had 1/4 of the total cake. Write an equation to determine how many pieces of cake (c) left there were in total. what is the total number of pieces of cake?

Answer 1

24 pieces total,
R = 3tot/4-3

Explanation:

m = Mindy
t = troy
tot = total number of pieces
R = remaining amount

So we know that Mindy and ate a combined number of thirteen pieces:

`m+t = 9`

We also know Mindy ate 3:
`m = 3`
and Troy ate `1/4` of the total number:
t = tot`/4`

so after combining:

3 + tot/4 = 9

now we solve for tot:

tot/4 = 6
tot = 24

So there is a total of 24 pieces.

R = tot - (tot/4+3)

R = 3tot/4-3

R = 15

Answer 2

First, we need to find out how many pieces of cake Troy ate.

If Mindy and Troy at `9` pieces, and Mindy at `3` of them, Tony must have eaten `6` pieces. If `6` pieces of cake is `1/4` of the whole, then we now know everything we need to write an equation:

`c = (4 xx 6) - 9`

where cake is equal to `4` quarters of `6` pieces of cake (6 + 6 + 6 + 6) without the `9` pieces Mindy and Troy ate.

So, `c = 24-9 = 15`

There `15` pieces of cake leftover.

The total number of pieces of cake is `24`