Answer: Manal = 27 messages
Elisa = 17 messages
Abdulrahman = 51 messages
Step-by-step explanation:
Let tye number of messages that Manal sent be x.
Since Eissa sent 10 fewer messages than Manal, this will be:
= x - 10
Abdulrahman sent 3 times as many messages as Eissa. This will be:
= 3(x - 10) = 3x - 30
We are also told that Manal, Abdulrahman, and Eissa sent a total of 95 text messages. This will be:
x + (x - 10) + (3x - 30) = 95
x + x - 10 + 3x - 30 = 95
x + x + 3x - 10 - 30 = 95
5x - 40 = 95
5x = 95 + 40
5x = 135
x = 135/5
x = 27
Manal = x = 27
Elisa = x - 10 = 27 - 10 = 17
Abdulrahman = 3x - 30 = 3×27 - 30 = 81 - 30 = 51
Manal = 27 messages
Elisa = 17 messages
Abdulrahman = 51 messages
10 x 4 = 40. This should help with the first one.
Answer:
The cost of producing the article is -3500 (Negative cost)
Step-by-step explanation:
The given parameters are
The ratio of the profit to material cost to production labor = 5:7:13
The amount of the material cost = 840 + Labor cost
Let the total cost = X
Therefore, we have;
The fraction of the total cost that is material cost = 7/(5 + 7 + 13) = 7/25
Therefore, the material cost = 7/25 × X
The fraction of the total cost that is labor cost = 13/(5 + 7 + 13) = 13/25
Therefore, the labor cost = 13/25 × X
However, the amount of the material cost = 840 + Labor cost, which gives;
7/25 × X = 13/25 × X + 840
7/25 × X - 13/25 × X = 840
-6/25 × X= 840
X = 840/(-6/25) = 840×(-25/6) = -3500
The cost of producing the article = -3500.
