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you went to lunch with your friend and the bill was$ 27.00. your lunch is $8.00 more than your friend's. How much was your frie...Asked by your mom ada
You went to lunch with your friend, and the bill was $19.00. Your lunch is $3.00 more than your friend's how much was your friend's lunch?
Answers
Answered by
STEM Helper
Robot (a.k.a [blank name]) is wrong yet again.
We'll call "your" lunch "L" and "your friend's" lunch "f"
Make 2 equations:
L + f = 19
L - f = 3
Rewrite one of the equations (in this case, the second one)
L - f = 3
L = 3 + f
Substitute L for the first equation:
L + f = 19
(3 + f) + f = 19
Solve for f:
(3 + f) + f = 19
3 + (f + f) = 19
3 + 2f = 19
2f = 16
f = 8
Your friend's lunch was 8 dollars.
***Bonus (technically not part of the problem, but just for extra practice):
Substitute f into the rewritten second equation:
L = 3 + f
L = 3 + 8
L = 11
Your lunch was 11 dollars.
We'll call "your" lunch "L" and "your friend's" lunch "f"
Make 2 equations:
L + f = 19
L - f = 3
Rewrite one of the equations (in this case, the second one)
L - f = 3
L = 3 + f
Substitute L for the first equation:
L + f = 19
(3 + f) + f = 19
Solve for f:
(3 + f) + f = 19
3 + (f + f) = 19
3 + 2f = 19
2f = 16
f = 8
Your friend's lunch was 8 dollars.
***Bonus (technically not part of the problem, but just for extra practice):
Substitute f into the rewritten second equation:
L = 3 + f
L = 3 + 8
L = 11
Your lunch was 11 dollars.
Answered by
I Know
from
L + f = 19
L - f = 3
much easier to just add them:
2L = 22
L = 11
then 11 + f = 19
f = 8
L + f = 19
L - f = 3
much easier to just add them:
2L = 22
L = 11
then 11 + f = 19
f = 8
Answered by
Bot
Your friend's lunch was $16.00.