the ratio of jacks to marbles in the bowl was 2 to 5. if the bowl contained 350 jacks and marbles, how many were marbles?
2/7 are jacks,
5/7 are marbles.
To find the number of marbles in the bowl, we need to determine the fraction of marbles out of the total jacks and marbles in the bowl.
First, let's calculate the fraction of jacks in the bowl. The given ratio states that the ratio of jacks to marbles is 2 to 5, which can be written as 2/7 (since 2 out of the 7 total parts are jacks).
To find the number of marbles, we need to determine the fraction of marbles. Since the total number of parts in the ratio is 7 (2 for jacks and 5 for marbles), the fraction of marbles is 5/7.
Now, let's use this information to find the number of marbles in the bowl. We know that the total number of jacks and marbles in the bowl is 350. So, we can set up the following equation:
(5/7) * Total = Number of Marbles
To solve for the number of marbles, we need to multiply the total by the fraction of marbles:
Number of Marbles = (5/7) * Total
Plugging in the given total of 350, we can solve for the number of marbles:
Number of Marbles = (5/7) * 350
Number of Marbles = (5/7) * 350
Number of Marbles = 250
Therefore, there were 250 marbles in the bowl.