Question

8. Joe can chop vegetables in 5 minutes, and Rich can chop the same amount of vegetables in 4 minutes. Working

together, how long will it take them to chop that batch of vegetables?

9. At Ricardo's Tacos, four tacos and two orders of chips cost the same as two tacos and four orders of chips. If
Ricardo's charges $2.00 for a single order of chips, how much does Ricardo's charge for 1 taco?

10. Broccoli is $1.69 per pound. Meg paid $8.45 for broccoli. How many pounds did she purchase?

Answer 1

8. 2.22 min; 9. $2.00; 10. 5 lb

Explanation:

8. Chopping vegetables

Joe can chop ⅕ of the vegetables in a minute.

Rich can chop ¼ of the vegetables in a minute.

Together, they can chop ⅕ + ¼ = ⁴/₂₀ + ⁵/₂₀ = ⁹/₂₀ of the vegetables in a minute.

To chop all the vegetables, they must work for

²⁰/₉ min = 2.22 min or 2 min 13 s

9. Tacos and chips

Let t = the cost of tacos

and c = the cost of chips Then

4t + 2c = 4c + 2t

If c = $2.00

4t + 2($2.00) = 4($2.00) + 2t

4t + $4.00 = $8.00 + 2t

2t + $4.00 = $8.00

2t = $4.00

t = $2.00

Ricardo's charges $2.00 for one taco.

10. Broccoli

Meg can buy 1 lb of broccoli for $1.69.

With $8.45, they can buy

`\text{Pounds of broccoli} = \text{\$8.45} * \frac{\text{1 lb}}{\text{\$1.69}} = \textbf{5 lb}\\\\\text{Meg can buy $\large \boxed{\textbf{5 lb}}$ of broccoli.}`