The amount of vegetables that are needed would be 2. 08 pounds of vegetables.
How to find the vegetables needed ?
Tam has 2/3 pound of carrots and 1/4 pound of celery:
![\[ \text{Total current vegetables} = \text{Carrots} + \text{Celery} = (2)/(3) + (1)/(4) \]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lfm4lrauqlu72qrp7ibwro5j9k2n68983v.png)
To add these fractions, we need a common denominator, which in this case is 12. Thus, we convert each fraction:
![\[ (2)/(3) = (2 * 4)/(3 * 4) = (8)/(12) \]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/j5pqzzjfw1cg4s0cy6ecbv5avce9w7vm2l.png)
![\[ (1)/(4) = (1 * 3)/(4 * 3) = (3)/(12) \]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/p10302641t7wc1snhc7x7a9lz46upjfjsw.png)
Now, we add them:
![\[ (8)/(12) + (3)/(12) = (11)/(12) \]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gx76odfcaoms42499zwctoya95qtfpdpyw.png)
So, Tam currently has 11/12 pounds of vegetables. To find out how much more he can add to reach 3 pounds, we subtract this from the total desired weight:
![\[ \text{More vegetables needed} = \text{Total desired} - \text{Total current} = 3 - (11)/(12) \]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/g5fwsz0np8ekfk8sp2by1s4qkuze1r8la6.png)
= 2. 08 pounds
Tam can add approximately 2.08 pounds more vegetables to reach a total of 3 pounds for his soup recipe.
The full question is:
Tam needs a total of 3 pounds of vegetables for a soup recipe. He already has 2 / 3 pound of carrots and 1 / 4 pound of celery. How many more vegetables can he add if one celery is 1/4 and the carrots are 2/3?