I assume the heights are 160 ft and 1480 ft.
The two heights are unknown, so we will use variable h to help solve the problem.
The shorter building, building A, has height h.
Since building A is shorter by 160 ft, then building B is taller by 160 ft, so the height of building B is h + 160.
Now we add our two heights to find the total height.
h + h + 160 is the total height.
We can write it as 2h + 160
We are told the total height is 1480 ft, so we let 2h + 160 equal 1480, and we have an equation.
2h + 160 = 1480
Subtract 160 from both sides
2h = 1320
Divide both sides by 2
h = 660
h + 160 = 820
Building A measures 660 ft.
building B measures 820 ft.
Amount of potatoes that Zoe has = 5 pounds
Quantity of potatoes that Zoe need for each recipe = 5/(3/4)
= 5 * (4/3)
= 20/3
= 6 2/3
From the above deduction, we can conclude that only 6 recipes can be made. The remaining amount of 2/3 will remain unused. I hope the procedure is clear enough for you to understand.
The formula is (2)(n-4) = n-1/4
Mult both sides by 4:
8n - 32 = 4n -1, or 4n = 31, or n=31/4.
If this is not what you expected, please ensure that you have copied down the original problem correctly. What do you mean by "1/4 less?"
Let's try (2)(n-4) = 1n-(1/4)n = (3/4)n. Then,
2n-8 = (3/4)n, or (5/4)n = 8. Mult. both sides by (4/5), we get:
n = (5/4)(8) = 10. Is that what you were hoping for?
