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If the proportion of iris to roses in Nikki's garden is 2: 5, it means that for 25 roses: (2/5) = (10/25). Therefore to maintain the proportion by adding 20 roses: (2/5) = (18/45). The number of irises after the addition of roses will be 10 + 18 = 28 irises.
<h3><u>Question</u></h3>
The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on his earnings of $512. At the same rate, how much will Charlie save this week on his earnings of $448?
<h3><u>Answer:</u></h3>
Charlie saved $ 28
<h3><u>Solution:</u></h3>
Given that amount of money that Charlie saves each week is directly proportional to the amount he earns
Let y represent of saved money and x represent amount of earned money
Therefore,
![\text{ Amount of money saved each week } $\propto$ amount he earns](https://tex.z-dn.net/?f=%5Ctext%7B%20Amount%20of%20money%20saved%20each%20week%20%7D%20%24%5Cpropto%24%20amount%20he%20earns)
![y \propto x](https://tex.z-dn.net/?f=y%20%5Cpropto%20x)
y = kx --- eqn 1
Where "k" is the constant of proportionality
<em><u>Last week Charlie saved $32 on his earnings of $512</u></em>
y = 32 and x = 512
Substituting in eqn 1, we get
![32 = k(512)\\\\k = \frac{32}{512} = 0.0625](https://tex.z-dn.net/?f=32%20%3D%20k%28512%29%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7B32%7D%7B512%7D%20%3D%200.0625)
To find amount of saved money, we will substitute k = 0.0625 and x = 448 in eqn 1
y = 0.0625(448) = 28
Thus charlie saved $ 28
Step-by-step explanation:
x = -2-y
3(-2-y) +3y =6
-6-3y +3y=6
у=0
O=-x-2
х=-2