Ms.Montoya class baked cookies for school festival.They sold three fifths of the cookies on Thursday and one fourth of the cookies on Friday.If there were 24 cookies left after Friday,how many cookies did Ms.Montoya baked?
0.6x + 0.25x + 24 = x
0.85x + 24 = x
24 = 0.15x
24/0.15 = 160 cookies
To find out how many cookies Ms. Montoya baked, we need to work backward from the information given.
First, let's determine how many cookies were left after Thursday. We know that three-fifths of the cookies were sold on Thursday, which means two-fifths were left. Since two-fifths equals 24 cookies, we can set up the equation:
2/5 * X = 24
To find X, we'll multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
(2/5 * X) * (5/2) = 24 * (5/2)
This simplifies to:
X = 60
Therefore, there were originally 60 cookies.
Now, let's determine how many cookies were left after Friday. We know that one-fourth of the cookies were sold on Friday, which means three-fourths were left. Since we're told that there were 24 cookies left, we can set up the equation:
3/4 * Y = 24
To find Y, we'll multiply both sides of the equation by the reciprocal of 3/4, which is 4/3:
(3/4 * Y) * (4/3) = 24 * (4/3)
This simplifies to:
Y = 32
Therefore, Ms. Montoya baked a total of 32 cookies.