Answer:
6
Step-by-step explanation:
Cost per item is found by dividing the cost by the number of items. If the woman bought n items for $120, the cost of each item is $120/n. If the woman bought 24 more items, n+24, at the same price, then the cost per item is $120/(n+24). The problem statement tells us this last cost is $16 less than the first cost:
120/(n+24) = (120/n) -16
Multiplying by n(n+24) gives ...
120n = 120(n+24) -16(n)(n+24)
0 = 120·24 -16n^2 -16·24n . . . . . . subtract 120n and collect terms
n^2 +24n -180 = 0 . . . . . . . . . . . . . divide by -16 to make the numbers smaller
(n +30)(n -6) = 0 . . . . . . . . . . . . . . factor the quadratic
The solutions to this are the values of n that make the factors zero: n = -30, n = 6. The negative value of n has no meaning in this context, so n=6 is the solution to the equation.
The woman bought 6 items.
_____
Check
When the woman bought 6 items for $120, she paid $120/6 = $20 for each of them. If she bought 6+24 = 30 items for the same money, she would pay $120/30 = $4 for each item. That amount, $4, is $16 less than the $20 she paid for each item.
Answer:
ok so umm i dont get what ur looking for?
Step-by-step explanation:
Answer: x=5
Step-by-step explanation:
divide both sides by the numeric factor on the left side, then that will give the answer for x
Answer:
The center is [-1,-2
Step-by-step explanation:
Answer:
4 hours of rental
Step-by-step explanation:
y1 = 20 + 13.5x
y2 = 6 + 17x
20 + 13.5x = 6 + 17x
20 - 6 = 17x - 13.5x
14 = 3.5x
x = 4
Costs y1 and y2 are equal on renting for 4 hours
