A ≥ 0
Find a number such that 10 less than two thirds the number is one fourth the number
1 answer:
Answer:
the number is 24
Step-by-step explanation:
10 less than two thirds the number is one fourth the number
Let the unknown number be x
two third of the number is
10 less than two third the number becomes
one fourth the number becomes
10 less than two thirds the number is one fourth the number
We need to solve for x
LCD is 3*4 = 12
Multiply the whole equation by 12
8x - 120 = 3x
add 120 on both sides
8x = 3x + 120
Subtract 3x on both sides
5x = 120
divide by 5 on both sides
x= 24
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Answer:
The number of tablets 200
the number of laptops 40
and, the number of servers 20
Step-by-step explanation:
Let the number of tablets be 'x'
the number of laptops be 'y'
and, the number of servers be 'z'
According to the given question
Total budget = $280,000
Tablets cost = $500 each
laptops cost = $2000 each
servers cost = $5000 each
Thus,
500x + 2000y + 5000z = 280,000 ..............(1)
also,
x = 5y ................(2)
and,
y = 2z
or
z = ............(3)
substituting y from 2 and 3 in equation 1, we get
(500 × 5y) + (2000 × y) + (5000 ×
) = 280,000
or
2500y + 2000y + 2500y = 280,000
or
7000y = 280,000
or
y = 40
substituting y in equation 2, we get
x = 5 × 40 = 200
substituting y in equation 3 we get
z =
or
z = 20
hence,
the number of tablets 200
the number of laptops 40
and, the number of servers 20