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
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.
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.
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.
To find the value of i, we need to subtract the number of invitations Imogen sent out from the total number of invitations she bought.
The total number of invitations Imogen bought is i, and the number of invitations she sent out is 19.
So, the equation to find the value of i is: i - 19 = 11.
To solve for i, we can rearrange the equation: i = 11 + 19.
Simplifying the equation, we find: i = 30.
Therefore, the value of i is 30.