Question

9. What is 28% of $5078. If two groups of men worked on the same project. The first team consists of

35 men and the second with 30 men. If the smaller team completes the job in

70 days, how many days will the larger team take?

(2mks)

Answer 1

To find 28% of $5078, multiply 28/100 by $5078, which equals $1421.84. The larger team will take 82 days to complete the job.

Step-by-step explanation:

To find 28% of $5078, we can multiply 28/100 by $5078:

28/100 × $5078 = $1421.84

So, 28% of $5078 is $1421.84.

In the second part of the question, we can use the concept of inverse variation to solve it. Inverse variation states that if two variables are inversely proportional, their product remains constant. In this case, the number of men and the number of days taken to complete the job are inversely proportional.

Let x be the number of days the larger team takes to complete the job. We can set up the following equation:

35 × 70 = 30 × x

Simplifying the equation gives:

2450 = 30x

Dividing both sides by 30:

x = 81.67

Rounding up to the nearest whole number, the larger team will take 82 days to complete the job.