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10. at the market, grapes cost $0.85 per pound. clarissa buys grapes an…

Question

  1. at the market, grapes cost $0.85 per pound.

clarissa buys grapes and pays a total of $2.55.
how many pounds of grapes does she buy?

  1. damon kayaks on a river near his home. he plans to kayak a total of 6.4 miles. damon kayaks at an average speed of 1.6 miles per hour. how many hours will it take damon to kayak the 6.4 miles?

Explanation:

Step1: Define variables for Q10

Let $x$ = pounds of grapes. Cost formula: $\text{Total Cost} = \text{Price per Pound} \times \text{Quantity}$

Step2: Solve for Q10 quantity

$2.55 = 0.85x$
$x = \frac{2.55}{0.85}$

Step3: Define formula for Q11

Time formula: $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$

Step4: Calculate Q11 time

$\text{Time} = \frac{6.4}{1.6}$

Answer:

  1. Clarissa buys 3 pounds of grapes.
  2. It will take Damon 4 hours.