Miss Alexa runs a small business of making earthen toys. she makes certain number of toys on daily basis. Production cost of each toys is 40 more than 10 times total number of toys she makes in one day, If production cost of all toys per day is 7 600, find production cost of one toy and number of toy she makes per day.
Answers
Step-by-step explanation:
let the total number of toys she makes on one day=x
cost of each toy=10x+40
given that total amount she gets=7600
(10x+40)x=7600
10x^2+40x-7600=0
x^2+4x-760=0
Correct Question:
Miss Alexa runs a small business of making earthen toys. she makes certain number of toys on daily basis. Production cost of each toy is 40 more than 10 times total number of toys she makes in one day. If production cost of all toys per day is Rs.600, find production cost of one toy and number of toys she makes per day.
Answer:
The production cost of one toy = Rs 100
The number of toys she makes per day = 6
Step-by-step explanation:
Let the total number of toys made in one day be 'x'
According to the question,
Production cost of each pot = 10x + 40
Production cost of all toys per day = Rs 600
Total number of toys made in one day × Production cost of each pot = 600
x(10x + 40) = 600
10x² + 40x = 600
10x² + 40x - 600 = 0
10(x² + 4x - 60) = 0
x² + 4x - 60 = 0/10
x² + 4x - 60 = 0
Solving the quadratic equation,
x² + 4x - 60 = 0
x² + 10x - 6x - 60 = 0
x(x + 10) - 6(x + 10) = 0
(x + 10) (x - 6) = 0
x = -10, +6
⇒ x can not be negative. Hence, x = 6
⇒ The production cost of one toy :
= 10(6) + 40
= 60 + 40
= 100