Answer:
11 people will get both the prizes.
Step-by-step explanation:
In this question we need to find common integral multiples of 5 and 7 under 400. As you can see in the figure 35th person is the first one to get both ipod and psp. The LCM (least common multiple) of 5 and 7 which is 35 (!!! <em>I hope you know how to LCM of two integers </em>).
Therefore the integral multiples of 35 will be same as the common multiples of 5 and 7. So, figuring out the number of integral multiples of 35 under 400 will give the answer.
To do that divide the number 400 with 35. On performing the division the quotient will be 11 and the remainder will be 15.
Therefore 11 persons out of 400 will get both the prizes.
Similarly if you want to find the number of person getting ipod then divide 400 with 5. The quotient will be 80. ∴ 80 people will get ipod.
And for psp, divide 400 with 7. The quotient will be 57. ∴ 57 people will get psp.
In these divisions, consider just the quotient, here remainder is of no use.
Let number of fives = x then number of ones = 3x and number of tens = x - 1
so we can create the equation
x + 3x + x-1 + y = 26 where y = number of twenties
so
5x + y = 27
also we have the equation
5x + 3x + 10(x - 1) + 20y = 120
18x + 20y = 130..................................(1)
5x + y = 27 multiply by -20:-
-100x - 20y = -540..............................(2)
Adding equation (1) and (2)
-82x = -410
x = 5, that is 5 fives
Now plug x = 5 into equation 1:-
18(5) + 20y = 130
20y = 40
y = 2 , that is 2 twenties
So the answer is there are (3x) = 15 ones , 5 fives, 4 tens and 2 twenties
Answer:
Hello I can I get some answers choics?
Step-by-step explanation:
Answer:
$450,000
Step-by-step explanation:
chad = (1/3)profit
3×chad = profit = 3×$150,000 . . . . multiply the equation by 3; fill given value
profit = $450,000
The company's overall profits were $450,000.
Answer: 30%
Step-by-step explanation:
It increased by 15 so it increased by 15/50=30/100=30%
I hope this helped!
