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?

Question

asked Jul 23, 2018 216k views

1 Answer

Syrus Akbary Nieto · Answer 1 · 2018-07-27T17:42:16+0000

Step 1

Convert mixed number to an improper fraction

$21(1)/(2)\ lb= (21*2+1)/(2) =(43)/(2)\ lb$

Step 2

Find the total pounds used in tacos

we know that

Saeed used
1/4 of the beef to make tacos

so

$(1)/(4)*(43)/(2)=(43)/(8)\ lb$

Step 3

Find how many burgers did Saeed make

we know that

Saeed used
2/3 of the remainder to make quarter-pound burgers

Remember that

If Saeed used
1/4 of the beef to make tacos

then

the remainder is
3/4 of the beef

so

$remainder=(3)/(4)*(43)/(2)=(129)/(8)\ lb$

Multiply the remainder by
2/3

$(2)/(3)*(129)/(8)=(129)/(12)\ lb$

Divide by
1/4 to find the number of burgers

$((129/12))/((1/4)) =(129)/(3)=43\ burgers$

therefore

the answer is

$43\ burgers$