The <em><u>correct answer</u></em> is:
Ken will have run 3 laps and Hamid will have run 4.
Explanation:
To find this, we first find the number of seconds that will have passed when they meet again. We use the LCM, or least common multiple, for this. First we find the prime factorization of each number:
80 = 10(8)
10 = 5(2)
8 = 2(4)
4 = 2(2)
80 = 2(2)(2)(5)(2)
60 = 10(6)
10 = 5(2)
6 = 2(3)
60 = 2(2)(3)(5)
For the LCM, we multiply the common factors by the uncommon. Between the two numbers, the common factors are 2, 2 and 5. This makes the uncommon 2, 2, and 3, and makes our LCM
2(2)(5)(2)(2)(3) = 240
This means every 240 seconds they will both be at the start line.
Since Ken completes a lap in 80 seconds, he completes 240/80 = 3 laps in 240 seconds.
Since Hamid completes a lap in 60 seconds, he completes 240/60 = 4 laps in 240 seconds.
Answer:
Is this an exam? looks like it
Let y represent the original price of potatoes per pound
Since he purchased the potatoes at 40% off the original price, this can represented as y*(1-0.4)
Now the weight of potatoes he purchased is x pounds, the total cost of these potatoes can be represented as x*y*(1-0.4)
The total amount of money he had is $10
The amount of money left over can be represented by the expression =
10 - x*y*(1-0.4)
where "x" is the weight of potatoes in pounds and "y" is the original price per pound of potatoes
