Answer:
1.129
2.It will take 3 days for the 8 farmers to plow 3 hectares.
3.20 painters are needed to finish the work in 6 days.
4.10 days
5.There are 31 doors and 155 windows in the building.
6.36 more employees, total of 48 employees to make 132 hats per hour
7.the numbers are 180 and 140.
8.The smaller number is 18. 18:30 divided by 6 = 3:5
Step-by-step explanation:
1.In order to find the answer, we can solve this problem by doing Partitive Proportion.
2:3 = 215
(Let's make some equation in order to solve this kind of problem)
2n + 3n = 215
5n = 215
---------------(divide the 2 constants into 5 to remain/find the value of n.)
5 5
n = 43
(substitute 43 to n so that we can finally find the answer.)
2n + 3n = 215
2(43) + 3(43) = 215
86 + 129 = 215
So the final ratio/answer is 86:129.
What is asked is the value of larger number in the ratio of 2:3. Since the value of 3 in 2:3 is 129, then 129 is the correct answer.
2.Use: (Man x Time) / Work ratio and proportion
Let: N = number of days
(4 farmers x 6 days) / 3 hectares = (8 farmers x N days) / 3 hectares
(4)(6) / 3 = 8N / 3
8N = 24
N = 3 days
Answer: It will take 3 days for the 8 farmers to plow 3 hectares.
3.multiply then divide by 6
12 x 10 = 120
120/6= 20 painters
20 painters are needed to finish the work in 6 days.
4.10 days.
Assume that the amount of salary per day in every person is 300.
So... PHP300 multiply by 8 person multiply by 15 days is equal to 360,000.
If you add 4 more workers and your budget is PHP. 360,000 (assuming) then PHP. 360,000 divided by 12 workers dived by 300 per day is equal to 10 days.
5.There are 31 doors and 155 windows in the building.
1+5 = 6
You have 6 parts of 186
186÷6 = 31
31 is 1 part of 186
Doors=31×1
Doors=31
Windows=31×5
Windows=155
There are 31 doors and 155 windows in the building.
6. wala ako explaination
7.let 'x' be the factor for the ratio to be expressed as 9x:7x
since the difference is 40 then,
9x - 7x = 40
2x = 40
x = 20
9x = 9(20)
= 180
7x = 7(20)
=140
Therefore the numbers are 180 and 140.
8.wala ako explaination
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