Question

Tawny is grocery shopping and needs broccoli and cauliflower for recipe she is making for dinner. Broccoli is $1.05 per pound and cauliflower is $0.76 per pound. She knows she wants to spend exactly $10 on veggies. If b represents pounds of broccoli and c represents pounds of cauliflower, which equation represents this situation? 1. 1.05c + 0.76b = 10 2. 1.05b + 0.76c = 10 3. 1.81v = 10 4. b + c = 10

Answer 1

The equation that represents this situation is:

Option: 2

2. 1.05b + 0.76c = 10

Explanation:

If b represents pounds of broccoli and c represents pounds of cauliflower.

Now it is given that cost of 1 pound of broccoli is: $ 1.05

Hence, cost of b pounds of broccoli is: $ 1.05 b

and cost of 1 pound of cauliflower is: $ 0.76

Hence, cost of c pounds of cauliflower is: $ 0.76 c

It is given that she wants to spend exactly $10 on veggies.

Hence, the equation that is obtained is:

1.05b + 0.76c = 10

Answer 2

Answer: 2.) 1.05b + 0.76c=10 is equation which represents the given situation.

Explanation:

Given :- Tawny is shopping grocery and needs broccoli and cauliflower for the recipe she is making for dinner.

Let b represents the pounds of broccoli and c represents the pounds of cauliflower.

Now, Rate of broccoli = $1.05

Rate of cauliflower =$0.76

Total money she wants to spend on veggies= $10

Therefore,

The total spending on broccoli = $1.05 × b

and The total spending on cauliflower = $ 0.76 × c

Thus the total spending on veggies = $1.05 × b + $ 0.76 × c =$10

= $ ( 1.05b + 0.76c) =$10

Therefore, 2.) is the right answer.