Tony’s backpack can carry weight up to 22 but not more that that
If the variable n represents the total weight carried by tony
Then ; n less than or equal to (n=1+3+3b
=4+3b
Where b represents book
4+3b is less or equal to 22
3b is less or equal to 18
b is less or equal to 6
Therefore Tony’s backpack cannot carry more than 6 books
Answer:
![Cost = \$28](https://tex.z-dn.net/?f=Cost%20%3D%20%5C%2428)
Step-by-step explanation:
Given
Represent Goldfish with g and hermit crabs with h.
The first statement, we have:
![7g + 3h = 26](https://tex.z-dn.net/?f=7g%20%2B%203h%20%3D%2026)
The second statement, we have:
![4g + 5h = 28](https://tex.z-dn.net/?f=4g%20%2B%205h%20%3D%2028)
Required
Determine the selling price of 6 goldfish and 4 hermit crabs
The equations are:
--- (1)
--- (2)
Make g the subject in (2)
![4g + 5h = 28](https://tex.z-dn.net/?f=4g%20%2B%205h%20%3D%2028)
![4g = 28 - 5h](https://tex.z-dn.net/?f=4g%20%3D%2028%20-%205h)
Divide both sides by 4
![g = \frac{1}{4}(28 - 5h)](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7B1%7D%7B4%7D%2828%20-%205h%29)
Substitute
for g in (1)
![7g + 3h = 26](https://tex.z-dn.net/?f=7g%20%2B%203h%20%3D%2026)
![7(\frac{1}{4}(28 - 5h)) + 3h = 26](https://tex.z-dn.net/?f=7%28%5Cfrac%7B1%7D%7B4%7D%2828%20-%205h%29%29%20%2B%203h%20%3D%2026)
![\frac{7}{4}(28 - 5h) + 3h = 26](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B4%7D%2828%20-%205h%29%20%2B%203h%20%3D%2026)
Multiply through by 4
![4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4](https://tex.z-dn.net/?f=4%20%2A%20%5Cfrac%7B7%7D%7B4%7D%2828%20-%205h%29%20%2B%204%2A3h%20%3D%2026%2A4)
![7(28 - 5h) + 4*3h = 26*4](https://tex.z-dn.net/?f=7%2828%20-%205h%29%20%2B%204%2A3h%20%3D%2026%2A4)
Open bracket
![196 - 35h + 12h = 104](https://tex.z-dn.net/?f=196%20-%2035h%20%2B%2012h%20%3D%20104)
![196 -23h = 104](https://tex.z-dn.net/?f=196%20-23h%20%3D%20104)
Collect Like Terms
![-23h = 104-196](https://tex.z-dn.net/?f=-23h%20%3D%20104-196)
![-23h = -92](https://tex.z-dn.net/?f=-23h%20%3D%20-92)
Make h the subject
![h = \frac{-92}{-23}](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B-92%7D%7B-23%7D)
![h = \frac{92}{23}](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B92%7D%7B23%7D)
![h = 4](https://tex.z-dn.net/?f=h%20%3D%204)
Substitute 4 for h in ![g = \frac{1}{4}(28 - 5h)](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7B1%7D%7B4%7D%2828%20-%205h%29)
![g = \frac{1}{4}(28 - 5*4)](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7B1%7D%7B4%7D%2828%20-%205%2A4%29)
![g = \frac{1}{4}(28 - 20)](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7B1%7D%7B4%7D%2828%20-%2020%29)
![g = \frac{1}{4}(8)](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7B1%7D%7B4%7D%288%29)
![g = 2](https://tex.z-dn.net/?f=g%20%3D%202)
This implies that:
1 goldfish = $2
1 hermit crab = $4
The cost of 6 goldfish and 4 hermit crabs is:
![Cost = 6g + 4h](https://tex.z-dn.net/?f=Cost%20%3D%206g%20%2B%204h)
![Cost = 6*\$2 + 4*\$4](https://tex.z-dn.net/?f=Cost%20%3D%206%2A%5C%242%20%2B%204%2A%5C%244)
![Cost = \$12 + \$16](https://tex.z-dn.net/?f=Cost%20%3D%20%5C%2412%20%2B%20%5C%2416)
![Cost = \$28](https://tex.z-dn.net/?f=Cost%20%3D%20%5C%2428)
25.3-22.25 = 3.05
What percent of 22.25 is 3.05?
22.25x = 3.05
x = .1370786517
It's marked up 13.7%
1)x+1/2x-1=46
2) The length is 94/3(or 31 1/3) and the width is 44/3(or 14 2/3)