Saeed bought 21 1/2 lb. of ground beef. He used 1/4 of the beef to make tacos and 2/3 of the remainder to make burgers. How many burgers did he make?
This is so confusing!?!?!
To find the number of burgers Saeed made, we need to first determine the amount of ground beef he had left after making the tacos.
Saeed used 1/4 of the ground beef for tacos, which is (1/4) * 21 1/2 lb. The calculation is:
(1/4) * 21 1/2 = 21 1/2 * 1/4
To simplify the calculation, we can convert the mixed number to an improper fraction:
21 1/2 = (2 * 21 + 1)/2 = 43/2
Now we can calculate the amount of ground beef used for tacos:
(43/2) * 1/4 = (43/2) * (1/4) = 43/8 lb.
Next, we need to calculate the amount of ground beef remaining after making the tacos. To do this, we subtract the amount used for tacos from the total amount of ground beef:
Total - Tacos = 21 1/2 - 43/8
Again, let's convert the mixed number to an improper fraction:
21 1/2 = (2 * 21 + 1)/2 = 43/2
Now we can calculate the difference:
(43/2) - (43/8) = (43/2) - (43/8)
To subtract fractions, we need a common denominator. The least common multiple of 2 and 8 is 8, so let's convert the fractions accordingly:
(43/2) - (43/8) = (43/2) * (4/4) - (43/8) * (1/1)
= (172/8) - (43/8) = 172/8 - 43/8
Now we can subtract the fractions:
172/8 - 43/8 = (172 - 43)/8 = 129/8
So Saeed had 129/8 lb of ground beef left after making the tacos.
Next, we need to determine how much ground beef Saeed used to make the burgers. Saeed used 2/3 of the remaining ground beef for burgers:
Burgers = (2/3) * (129/8)
To multiply fractions, we multiply the numerators and the denominators:
Burgers = (2 * 129)/(3 * 8)
Now we can calculate the number of burgers:
Burgers = 258/24 = 10 3/24
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 3:
Burgers = (258/3) / (24/3) = 86/8 = 10 6/8
Since each burger corresponds to 1/8 of a pound, we can convert the fraction to a whole number by dividing the numerator by the denominator:
10 6/8 = 10 + (6/8) = 10 + (6/8) * (1/1) = 10 + 6/8 = 10 + 6/8
Finally, we can simplify the fraction:
10 + 6/8 = 10 + (6/8) * (1/1) = 10 + 6/8 = 10 + 3/4 = 10 3/4
Therefore, Saeed made 10 3/4 burgers.
To solve this problem, we'll follow these steps:
Step 1: Calculate the amount of ground beef that Saeed used to make tacos.
Step 2: Determine the remainder of the ground beef after making tacos.
Step 3: Calculate the amount of ground beef used to make burgers.
Step 4: Determine the total number of burgers Saeed made.
Let's begin:
Step 1: Calculate the amount of ground beef that Saeed used to make tacos.
Saeed used 1/4 of the ground beef to make tacos. To find this value, we can multiply the total amount of ground beef by 1/4.
21 1/2 lb. * 1/4 = (43/2) lb. * (1/4) = 43/8 lb.
Step 2: Determine the remainder of the ground beef after making tacos.
To find the remainder, we need to subtract the amount of ground beef used for tacos from the total amount.
21 1/2 lb. - 43/8 lb. = 170/8 lb. - 43/8 lb. = 127/8 lb.
Step 3: Calculate the amount of ground beef used to make burgers.
Saeed used 2/3 of the remaining ground beef to make burgers. We can find this value by multiplying the remaining amount by 2/3.
(127/8 lb.) * (2/3) = (127/8) lb. * (2/3) = 254/24 lb.
Step 4: Determine the total number of burgers Saeed made.
To find the number of burgers, we need to divide the amount of ground beef used for burgers by the weight of each burger.
Let's assume each burger weighs 1/4 lb.
(254/24 lb.) / (1/4 lb.) = (254/24 lb.) * (4/1 lb.) = (254/6) burgers = 42 1/3 burgers.
Therefore, Saeed made approximately 42 1/3 burgers using the given amount of ground beef.
he used 1/4 * 21 1/2 = 1/4 * 43/2 = 43/8 for tacos
That left 3/4 * 21 1/2 = 129/8
Then he use 2/3 of that, or 2/3 * 129/8 = 43/4 for burgers
Unfortunately, you do not say how much beef it takes to make a burger. If they were 1/4-pounders, then he made 43 burgers.