Help solve these?

2017-10-08 9:47 am
1.Together, two workers produced 86 parts. The first worker produced 8 more parts than the second worker. How many parts did each worker produce?

2.1274 people work at three departments of a factory. The second department employs 70 people more than the first one and the third department employs 84 more workers than the second one. How many people work in each department?

回答 (5)

2017-10-08 10:07 am
1) 47 and 39
2) 1274 = a+a+70+a+154
a = 350
b = 420
c = 504
2017-10-09 4:25 am
1.Together, two workers produced 86 parts. The first worker produced 8 more parts than the second worker. How many parts did each worker produce?

Let x be the number of parts produced by the first worker. Let x + 8 be the number of parts produced by the second worker. The sum of these is 86.

2 * x + 8 = 86
x = 78 ÷ 2 = 39
x + 8 = 47
Check: 39 + 47 = 86

2. 1274 people work at three departments of a factory. The second department employs 70 people more than the first one and the third department employs 84 more workers than the second one. How many people work in each department

For this problem, let x be the number of people who work in the first department.
x + 70 people work in the second department

84 more people work in this number work in the third department.
N = x + 154

Total = x + x + 70 + x + 154 = 3 x + 224

3 * x + 224 = 1274
3 * x = 1050
x = 350

#2, N = 350 + 70 = 420
#3, N = 420 + 84 = 504

Check: 350 + 420 + 504 = 1274
This proves the three numbers are correct. I hope this is helpful for you.
2017-10-08 11:55 am
1.
Together, two workers produced 86 parts.
The first worker produced 8 more parts than the second worker.
How many parts did each worker produce?
One worker produced 47 parts and the
second worker produced 39 parts
2.
1274 people work at three departments of a factory.
The second department employs 70 people more than the first one and
the third department employs 84 more workers than the second one.
How many people work in each department?
3x = 1274 - 224, x = 350
350 people work in the first department,
420 people work in the second department and
504 people work in the third department.
2017-10-08 10:02 am
x +(x+8) = 86
2x +8 =86
2x = 78
x = 39
x+8 = 47

x+y+z = 1274
x = y -70
z = y +84
(y -70) +y +(y +84) = 1274
3y +14 = 1274
3y = 1260
y = 420
y -70 = 350
y +84 = 504
2017-10-08 9:51 am
a+b = 86
a = b+8

(b+8)+b = 86
b = 39
a = b+8 = 47


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