Response:
If there are "p" pounds of peanuts and "m" pounds of a mixture containing '20% peanuts and 80% almonds', then we can formulate the following equations:
p + m = 10 -----------(1) and
4m/5 = 4 ------------(2)
The solution yields 5 lb peanuts and 5 lb mixture.
Detailed explanation:
In the mixture that Delaney desires to create, there will be
lb
= 6 lb of peanuts
Thus, there will be (10 - 6) lb
= 4 lb of almonds
If Delaney has "p" pounds of peanuts and "m" pounds of the '20% peanuts and 80% almonds' mixture, then based on the problem statement,
p + m = 10 -----------(1) and
4m/5 = 4 ------------(2)
From equation (2), we derive
m = 5 --------------(3)
From (1) and (3), we find that
p = (10 - 5) = 5
Start by letting x represent the number of Sam's pencils. Then Sari has 3x (since she has three times as many)
Together they total 28 pencils:
x + 3x = 28
4x = 28 /:4 (divide both sides by 4)
x = 7
So Sam has 7 pencils.
Sari, having three times as many, has 7 * 3 = 21.[[TAG_8]]
Hello!
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Solution:
The ratio is expressed as 4 to 1.
Add these parts together.
4 + 1 equals 5.
Now divide.
150 divided by 5 results in 30.
Next, multiply to find Ivan's share.
30 multiplied by 4 gives us 120.
30 multiplied by 1 equals 30 for Tanya.
Verify.
120 plus 30 totals 150.
Then subtract.
120 minus 30 equals 90.
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Answer:
Ivan possesses £90 more than Tanya!
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I hope this has been helpful! Best of luck!
The accurate statements include: If 200 students were surveyed, then 28 students would select art as their favorite subject. If 400 students were surveyed, 64 would opt for social studies.
