Answer:
15 cartons of Hammers were ordered
Step-by-step explanation:
Cost per carton of Hammer = $100
Cost per carton of Wrenches = $150
Total Carton = 25
Total Cost = $3,000
Required
Determine the numbers of Hammer and Wrenches
Represent the hammers with H and the wrenches with W
So;
![H + W = 25](https://tex.z-dn.net/?f=H%20%2B%20W%20%3D%2025)
and
![100H + 150W = 3000](https://tex.z-dn.net/?f=100H%20%2B%20150W%20%3D%203000)
Make W the subject of formula in the first equation:
![H + W = 25](https://tex.z-dn.net/?f=H%20%2B%20W%20%3D%2025)
![W = 25 - H](https://tex.z-dn.net/?f=W%20%3D%2025%20-%20H)
Substitute 25 - H for W in the second equation
![100H + 150(25 - H) = 3000](https://tex.z-dn.net/?f=100H%20%2B%20150%2825%20-%20H%29%20%3D%203000)
![100H + 3750 - 150H = 3000](https://tex.z-dn.net/?f=100H%20%2B%203750%20-%20150H%20%3D%203000)
Collect Like Terms
![100H - 150H = 3000 - 3750](https://tex.z-dn.net/?f=100H%20-%20150H%20%3D%203000%20-%203750)
![-50H = -750](https://tex.z-dn.net/?f=-50H%20%3D%20-750)
Divide both sides by -50
![\frac{-50H}{=50} = \frac{-750}{-50}](https://tex.z-dn.net/?f=%5Cfrac%7B-50H%7D%7B%3D50%7D%20%3D%20%5Cfrac%7B-750%7D%7B-50%7D)
![H = \frac{-750}{-50}](https://tex.z-dn.net/?f=H%20%3D%20%5Cfrac%7B-750%7D%7B-50%7D)
![H = 15](https://tex.z-dn.net/?f=H%20%3D%2015)
<em>Hence, 15 cartons of Hammers were ordered</em>
Answer:
(13/2, -27/2)
Step-by-step explanation:
The midpoint is found by using
midpoint = (x1+x2)/2, (y1+y2)/2
= (15+-2)/2, (-9+-18)/2
=13/2, -27/2
Answer:
15 rounds
Step-by-step explanation:
Change 75% into a decimal (0.75).
Multiply 20 by 0.75.
When doing so, you get 15 rounds.
To check this: 15/20 = 3/4 = 0.75
Answer:
45
Step-by-step explanation:
15
Answer:
12.01% discount
Step-by-step explanation:
R2499-100%
R2199-?
=R2199/R2499×100%
=87.99
100%-87.99%=12.01%