I'll mark as brainliest! Please help!
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Connor has 14 quarters and 28 dimes.
Step-by-step explanation:
Given,
Worth of coins = $6.30 = 6.30*100 = 630 cents
We know that,
1 quarter = 25 cents
1 dime = 10 cents
Let,
Quarter = x
Dime = y
According to given statement;
25x+10y=630 Eqn 1
The number of dimes is 14 more than the number of quarters
y = x+14 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 35
Putting x=14 in Eqn 2
Connor has 14 quarters and 28 dimes.
Keywords: linear equation, substitution method
Learn more about substitution method at:
#LearnwithBrainly
Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture
and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.
Since, fluid ounces of each concentration should be combined to make 25 fl oz.
So, a+b=25 (Equation 1)
And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.
So, a of 2% + b of 5% = 3.2% of 25
Multiplying the above equation by 100, we get
(Equation 2)
Substituting the value of a=25-b in equation 2, we get
Since, a=25-b
a= 25-10
a=15.
So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.
