a bag of trail mix has 2 peanuts for every 3 raisins. how many peanuts if there are 45 raisins.
45 / 3 = 15
3 * 15 = 45
2 * 15 = 30
There will be 30 peanuts if there are 45 raisins
Hope this helps! :3
To find the number of peanuts, we can set up a ratio based on the given information.
Given:
2 peanuts : 3 raisins
Let's solve for the number of peanuts using the ratio:
2 peanuts / 3 raisins = x peanuts / 45 raisins
To continue, we can use cross multiplication:
2/3 = x/45
Multiply both sides of the equation by 45 to isolate x:
(2/3) * 45 = x
Multiply:
(2 * 45) / 3 = x
90/3 = x
30 = x
So, there are 30 peanuts if there are 45 raisins in the bag of trail mix.
To find out how many peanuts there are, we'll need to use the ratio of peanuts to raisins in the trail mix. The ratio given is 2 peanuts for every 3 raisins.
First, let's determine the number of sets of 3 raisins in 45 raisins. Divide 45 by 3:
45 raisins ÷ 3 raisins/set = 15 sets of 3 raisins.
Since there are 2 peanuts for every set of 3 raisins, we can multiply the number of sets by 2 to find the number of peanuts:
15 sets × 2 peanuts/set = 30 peanuts.
Therefore, there are 30 peanuts in the bag of trail mix if there are 45 raisins.