Answer:
No, the answer is not reasonable. It should be about 10 pounds.
Explanation:
Given,
The quantity of hot dog bought by Jill's club =
pounds,
Hot dog =
pounds
Hamburger =
pounds
So, the total quantity of meat they bought
![=4(2)/(5)+3(1)/(2)+2(3)/(10)](https://img.qammunity.org/2020/formulas/mathematics/high-school/laglwwa78hzqrog3pkjqjpfpbp741687k3.png)
![=(22)/(5)+(7)/(2)+(23)/(10)](https://img.qammunity.org/2020/formulas/mathematics/high-school/3vioqlry4zusn3rqvnlop41c8ygozs35oc.png)
( Adding fractions ),
![=(102)/(10)](https://img.qammunity.org/2020/formulas/mathematics/high-school/e23l2mqmr98nknbb2rj7islfv1n659fv6b.png)
![=10.2\text{ pounds}](https://img.qammunity.org/2020/formulas/mathematics/high-school/p6edy5dr6314eyr0c59vjkekvoj92c1bxk.png)
Since,
![8(1)/(2)=(17)/(2)=8.5](https://img.qammunity.org/2020/formulas/mathematics/high-school/53g0h85v9ycph9he4wsvmzzm3o7ygw505i.png)
![\implies 8.5\\eq 10.2](https://img.qammunity.org/2020/formulas/mathematics/high-school/bkir3emvxwv5w4g40hqs9oc80eqkaipuw6.png)
Hence, the student's answer is not reasonable it should be about 10 pounds.
Third option is correct.