Can't get started on this for my granddaughter:
Grace had 3 times as many berries as Tyler. After Grace eats 50 berries she has half as many berries as Tyler. How many berries does Grace have left.
So if 50 is half of what Tyler had then he had 100. Grace had 3 times
Tyler so that would be 300. She ate 50 so she has 250 left (and a very bad stomach ache). If this is even correct is there some algebraic way to show the work??? This is just for a 4th grader and I have no idea how the teacher wants the problem worked.
No, don't think what I wrote before is correct.
Assume: Tyler had x berries.
so, Grace has 3x berries.
Now after Grace eats 50 berries, we have the following equation:
3x - 50 = x/2
6x - 100= x
5x = 100
x = 20
Grace had left with 10 berries.
Thank you so much Yrafaj!!! Robin
To solve this problem, let's break it down step by step:
1. Let's start by assigning variables to represent the number of berries Grace and Tyler have.
- Let G represent the number of berries Grace has initially.
- Let T represent the number of berries Tyler has initially.
2. According to the problem statement, "Grace had 3 times as many berries as Tyler." Translating this into an equation, we have:
G = 3T
3. Next, we are told that "After Grace eats 50 berries, she has half as many berries as Tyler." This means Grace has G - 50 berries left, and Tyler has T/2 berries. This can be represented by the equation:
G - 50 = (1/2)T
Now, we can use these two equations to find the values of G and T.
4. We can start by substituting the value of G from the first equation into the second equation:
3T - 50 = (1/2)T
5. To simplify the equation, we need to get rid of the fractions. We can do this by multiplying every term by 2:
6T - 100 = T
6. Next, we can isolate the variable T by moving all the terms involving T to one side of the equation:
6T - T = 100
5T = 100
7. Finally, we can solve for T by dividing both sides of the equation by 5:
T = 100 / 5
T = 20
8. Now that we know the value of T, we can substitute it back into the first equation to find G:
G = 3T
G = 3 * 20
G = 60
Therefore, Grace initially has 60 berries. To find out how many berries she has left after eating 50, we simply subtract 50 from 60:
Grace has 60 - 50 = 10 berries left.
So, Grace has 10 berries left.