Yuki made cookies on Monday. Some friends came over and ate half the cookies on Tuesday. on Wednesday, Yuki ate three cookies, and on Thursday, she took two cookies to school. By Friday, Yuki had seven cookies left. How many did she bake on Monday?
Thank you so much!!
24
Let's solve the problem step-by-step:
1. Yuki made cookies on Monday.
2. On Tuesday, some friends came over and ate half of the cookies.
3. On Wednesday, Yuki ate three cookies.
4. On Thursday, Yuki took two cookies to school.
5. By Friday, Yuki had seven cookies left.
To find out how many cookies Yuki baked on Monday, we need to work backwards.
Step 5: By Friday, Yuki had seven cookies left.
Step 4: On Thursday, Yuki took two cookies to school.
So, Yuki had 7 + 2 = 9 cookies on Thursday.
Step 3: On Wednesday, Yuki ate three cookies.
So, Yuki had 9 + 3 = 12 cookies on Wednesday.
Step 2: On Tuesday, some friends came over and ate half of the cookies.
Since Yuki had 12 cookies on Wednesday, she must have had double that amount on Tuesday. Therefore, she had 12 x 2 = 24 cookies on Tuesday.
Step 1: Yuki made cookies on Monday.
Since Yuki had 24 cookies on Tuesday and half were eaten, she must have baked 24 x 2 = 48 cookies on Monday.
Therefore, Yuki baked 48 cookies on Monday.
To find out how many cookies Yuki baked on Monday, let's break down the given information step by step:
1. Yuki made cookies on Monday.
2. Some friends came over and ate half the cookies on Tuesday. So, Yuki had half of the original number of cookies left.
3. On Wednesday, Yuki ate three cookies. So, the number of cookies she had left from the previous day minus three cookies will give us the number of cookies she had on Tuesday.
4. On Thursday, Yuki took two cookies to school. So, the number of cookies she had on Wednesday minus two cookies will give us the number of cookies she had on Wednesday.
5. By Friday, Yuki had seven cookies left.
Let's find the solution step by step:
Step 1: Calculate the number of cookies Yuki had on Tuesday after her friends came over. We know that half of the original cookies were eaten, so the remaining cookies can be calculated as:
Remaining cookies on Tuesday = (Total cookies on Monday) / 2
Step 2: Calculate the number of cookies Yuki had on Wednesday after eating three. We subtract three from the number of cookies on Tuesday, which gives us:
Remaining cookies on Wednesday = (Remaining cookies on Tuesday) - 3
Step 3: Calculate the number of cookies Yuki had on Thursday after taking two to school. We subtract two from the number of cookies on Wednesday, which gives us:
Remaining cookies on Thursday = (Remaining cookies on Wednesday) - 2
Step 4: By Friday, Yuki had seven cookies left, so we can equate the remaining cookies on Thursday to seven and solve for the total cookies baked on Monday:
Remaining cookies on Thursday = 7
(Remaining cookies on Wednesday) - 2 = 7
Now, let's solve this equation:
(Remaining cookies on Wednesday) - 2 = 7
(Remaining cookies on Wednesday) = 7 + 2
(Remaining cookies on Wednesday) = 9
Step 5: Finally, calculate the total number of cookies baked on Monday, which is twice the number of remaining cookies on Tuesday:
Total cookies on Monday = 2 * (Remaining cookies on Tuesday)
Now, let's substitute the values we have:
Total cookies on Monday = 2 * (Remaining cookies on Tuesday)
Total cookies on Monday = 2 * ((Remaining cookies on Wednesday) + 3)
Total cookies on Monday = 2 * (9 + 3)
Total cookies on Monday = 2 * 12
Total cookies on Monday = 24
Therefore, Yuki baked 24 cookies on Monday.