During a hike, Sally and Dave collected 160 acorns. Sally collected 3 times as many acorns as Dave. How many acorns did Dave collect?
You would learn more by thinking abut the problem than by having someone else do it for you.
Pick a number, triple it and add the two numbers. See what gets you a sum of 160.
Let's assign variables to the unknown quantities in the problem. Let's say the number of acorns Dave collected is represented by "x".
Since Sally collected 3 times as many acorns as Dave, we can say that the number of acorns Sally collected is represented by "3x".
According to the problem, Sally and Dave collected a total of 160 acorns. So we can write the equation:
x + 3x = 160
Combining like terms, we get:
4x = 160
To solve for x, we divide both sides of the equation by 4:
x = 160 / 4
x = 40
Therefore, Dave collected 40 acorns.
To determine how many acorns Dave collected, we can set up a system of equations based on the information given.
Let's assume "x" represents the number of acorns Dave collected.
Since Sally collected 3 times as many acorns as Dave, we can represent the number of acorns Sally collected as "3x".
According to the problem, the total number of acorns collected by both Sally and Dave is 160.
So, we can set up the equation:
x + 3x = 160
Combining like terms, we have:
4x = 160
Now, let's solve for x by dividing both sides of the equation by 4:
4x/4 = 160/4
x = 40
Therefore, Dave collected 40 acorns.