Question

TUTORIAL QUESTION: Last month, the price of one pound of carrots was \($2\frac{1}{5}\) and Joe sold \(12\frac{1}{12}\) pounds of carrots. This month, the price has increased by \($1\frac{1}{10}\) and Farmer Joe only sold \(5\frac{1}{8}\) pounds of carrots. What is the price of a pound of carrots this month?

Answer 1

Here's the original question:

Answer 2

1. We don't care how much carrots Joe sold. What we're looking for is the price per pound, which we are being given.
2. Since this month we only get a "price has increased" we have to perform an addiction function.

Answer 3

Original price, last month: \($2\frac{1}{5}\)
New price: increased from last month by \($1\frac{1}{10}\)

Bottom line: add these two values to get this month's price. Here's how we do it, with \(x\) being this month's price...\[x=2\frac{1}{5}+1\frac{1}{10}\]\[x=2+\frac{1}{5}+1+\frac{1}{10}\]Now we add the whole numbers first before focusing on the fractions.\[x=3+(\frac{1}{5}+\frac{1}{10})\]

Answer 4

Looking at the fractions, the denominators don't match. So now we have to convert using the LCD, "least common denominator." Here, it's obviously 10 as \(5\times2=10\). So we only need to actually convert one fraction:\[x=3+(\frac{1\times2}{5\times2}+\frac{1}{10})\]which becomes:\[x=3+(\frac{2}{10}+\frac{1}{10})\]

Answer 5

After this, you can combine the two fractions together.\[x=3+\frac{2+1}{10}=3+\frac{3}{10}\]Your final answer should be this:\[3\frac{3}{10}\]

Answer 6

ok?

Answer 7

That was a good explanation, good job,

Answer 8

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Laylalyssa
That was a good explanation, good job,
\(\color{#0cbb34}{\text{End of Quote}}\)
Bravo.

Answer 9

\(\color{#0cbb34}{\text{Originally Posted by}}\) @KayleeElizabeth0419
ok?
\(\color{#0cbb34}{\text{End of Quote}}\)
What's up? Were you confused by the explanation?

I can re-explain if necessary. :-)(

Answer 10

:-)*
Excuse my typo haha

Answer 11

We all make mistakes boo! < 3

Answer 12

well ummmm

Answer 13

...boo?

Answer 14

Wait, am I supposed to be a ghost?

Answer 15

$3.75 for a pound of carrots right?