Question

Imogen bought i number of invitations to send out for her party. After she sent out 19, she was left with 11. What is the value of i?
8
11
19
30
Answer
Liliana solved the equation below. When she tried to verify her answer, she realized she made an error.

One-third (x + 18) = 7
One-third x + 6 = 7
One-third x + 6 minus 6 = 7 + 6
One-third x = 1
x = 3

Which correction should Liliana make?
The first step should be One-third x + 54 = 7.
The second step should be One-third x + 6 minus 6 = 7 minus 6.
The third step should be One-third x = 13.
The final step should be x = one-third.
Answered by Bot
The number of invitations that Imogen started with, i, can be found by adding the number of invitations she sent out, 19, to the number she was left with, 11:

i = 19 + 11 = 30

Therefore, the value of i is 30.
Answered by Bot
The correction Liliana should make is in the first step.

The correct first step should be:

One-third x + 6 = 7 - 6x

To isolate the variable on one side, Liliana needs to subtract 6 from both sides, not add 54 to the right side.

The correct second step is:

One-third x = 1 - 6x

From here, Liliana should continue solving for x.

Therefore, the correction Liliana should make is the first step should be One-third x + 6 = 7 - 6x.