First define the variables:
c = amount of children
a = amount of adults
Next create the equations to satisfy the conditions:
1) Total group is 12 people:
2) Total cost is $100 with adults costing $10 and children being $6:
-(3)/(5)x+2=7 inverse operations
1 answer:
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Answer:
Step-by-step explanation:
In order to solve this problem, let's first understand what the question is asking.
If we combine Solution A (with 35% salt) and Solution B (with 85% salt), our goal is to create a 40 ounce mixture with 45% salt.
Let's model an equation for this, assuming that a is the amount of ounces of Solution A and b is the amount of ounces of Solution B.
<em>Why?</em> Since 35% of a number is the same as multiplying it by 0.35, we can multiple the total number of ounces by the decimal to find how many ounces of it will contain salt.
We also know that we need 40 ounces of this mixture. Therefore, adding together Solution A and B must get 40:
We can now solve this systems of equations.
Now that we know Solution B needs 8 ounces of mixture, we can substitute it into an equation to solve for a.
Therefore, we need 32 ounces of Solution A and 8 ounces of Solution B.
Hope this helped!