[tex]\bold{\huge{\green{\underline{Solution }}}}[/tex]
[tex]\bold{\underline{ Given :-}}[/tex]
- We have given that , The cooking time for a leg of lamb is 2/5 hours for each pound
[tex]\bold{\underline{ To \: Find :-}}[/tex]
- We have to find , how long should we cook a leg of lamb that weighs 12 3/4 pounds .
- How many hours before we have to cook the food so that it will be ready on time for dinner ?
[tex]\bold{\underline{ Let's \: Begin :-}}[/tex]
Answer (a) :-
According to the question,
[tex]\sf{\dfrac{ 2}{5}}{\sf{ \:hours = 1 \:pound }}[/tex]
Therefore,
[tex]\sf{ For \: 12}{\sf{\dfrac{ 3}{4}}}{\sf{\: hours}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{ 51}{4}}}{\sf{ × }}{\sf{\dfrac{2}{5}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{ 102}{20}}}[/tex]
[tex]\sf{ = 5.1 \: hours }[/tex]
[tex]\sf{\red{ = 5\: hours\: 6\: minute }}[/tex]
Hence, To cook a leg of lamb weighs 51/4 pounds requires 5 hours 6 minutes
Answer ( b) :-
We have to start cooking before atleast 5.2 hours so that food is ready on the Time for dinner.
- 5.2 hours because serving and dressing of food also take some time.
