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 quarter-pound burgers. How many burgers did he make?
21.5 * 0.75 = 16.125 lbs to make burgers
16.125/0.25 = _______ burgers
Round the answer down.
21 1/2 * 3/4 =
43/2 * 3/4 = 129/8
129 divided by 8 = 16 1/8
Round your answer down.
To find out how many quarter-pound burgers Saeed made, we need to follow these steps:
Step 1: Calculate the amount of ground beef that Saeed used to make tacos.
Saeed used 1/4 of the 21 1/2 lb. of ground beef for tacos.
To calculate this, we need to find 1/4 of 21 1/2 lb.
To do this, we multiply 21 1/2 by 1/4:
21 1/2 lb. × 1/4 = (43/2) lb. × (1/4) = 43/8 lb.
So, Saeed used 43/8 lb. of ground beef to make tacos.
Step 2: Calculate the remaining amount of ground beef after making tacos.
To find this, we subtract the amount used for tacos from the total amount of ground beef:
21 1/2 lb. - 43/8 lb. = (43/2) lb. - (43/8) lb.
Now, we need to simplify the expression by finding a common denominator for the fractions:
(43/2) lb. - (43/8) lb. = (43/2) lb. - (43/2) lb. / 8 = 344/16 lb. - 43/16 lb.
Subtracting the fractions:
344/16 lb. - 43/16 lb. = 301/16 lb.
So, after making tacos, Saeed is left with 301/16 lb. of ground beef.
Step 3: Calculate the amount of ground beef used to make quarter-pound burgers.
Saeed used 2/3 of the remaining ground beef to make quarter-pound burgers.
To calculate this, we need to find 2/3 of 301/16 lb.
To do this, we multiply 301/16 by 2/3:
(301/16) lb. × (2/3) = (301/16) lb. × (2/3) = 602/48 lb.
Step 4: Calculate the number of quarter-pound burgers by dividing the amount of ground beef used for burgers by the weight of each burger.
To find this, we need to divide 602/48 lb. by 1/4 lb. (weight of each burger):
(602/48) lb. ÷ (1/4) lb. = (602/48) lb. × (4/1 lb.) = (602/12) burgers.
Now, let's simplify the expression:
602/12 burgers = 50 1/6 burgers.
Therefore, Saeed made 50 1/6 quarter-pound burgers.