Answer: Let's say that Jenna made enough strawberry jam to fill one jar. Then, we can express the amount of raspberry jam she made in terms of the amount of strawberry jam. We know that she made 2/3 as much raspberry jam as strawberry jam, so she made:
(2/3) x (1 jar) = 2/3 jar of raspberry jam.
Since Jenna made enough strawberry jam to fill 3/5 of a jar, the amount of strawberry jam she made can also be expressed as:
(3/5) x (1 jar) = 3/5 jar of strawberry jam.
Now, to find out how many jars the raspberry jam will fill, we can use proportions. Since 2/3 jar of raspberry jam is equivalent to 3/5 jar of strawberry jam, we can set up the proportion:
(2/3) jar of raspberry jam / x jars = 3/5 jar of strawberry jam / 1 jar
where x is the number of jars the raspberry jam will fill.
We can cross-multiply to get:
(2/3) x 1 = (3/5) x
Simplifying, we get:
x = (2/3) / (3/5) = (2/3) x (5/3) = 10/9
Therefore, Jenna's raspberry jam will fill 10/9 jars. However, since we cannot have a fraction of a jar, we need to round up to the nearest whole number. So the answer is that Jenna's raspberry jam will fill 2 jars.
Explanation: