Divide $414 into three parts such that first one is two-third of the second and the ratio between second and third is 5 : 7.
1 answer:
Answer:
$90, $135, $189
Step-by-step explanation:
Since the first part of the ratio is two- thirds of the second, then
first part = × 5 =
The ratio is then
: 5 : 7
Sum the 3 parts of the ratio
+ 5 + 7 =
Divide the amount to be shared by the sum to find the value of one part of the ratio.
$414 × = $27 ← value of 1 part of the ratio, then
× $27 = $90
5 × $27 = $135
7 × $27 = $189
The 3 parts are $90, $135, $189
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Answer:
360,360 groups of 5 people.
Step-by-step explanation:
We have been given that there are 15 people in an office with 5 different phone lines. We are asked to find groups of 5 people that can answer these lines, if all the lines begin to ring at once.
We will use fundamental principle of counting to solve our given problem.
There are 15 people to answer 1st line, that will leave us with 14 people to answer 2nd line.
Now, we will have 13 people to answer 3rd line, that will leave us with 12 people to answer 4th line.
There are 11 people to answer 5th call.
So 5 lines can be answered in ways.
Therefore, 360,360 groups of 5 people can answer these lines.