Cereal question for math

Question

1. Oneboxofcerealcontains25%morecerealthananotherbox.Together, the
2. cereal in both boxes weighs 54 ounces.
3. How much does the cereal in each box weigh? Explain your reasoning using a
4. percent thermometer.

Answer 1

I can't answer this question exactly for the purpose of academic honesty, but I can show you how to solve an example problem that is similar to it:

A blue string is 20% longer than a red string. Together, they are 66 inches long.

First let's decode the problem:

20% = fraction = 1/5 or 0.20

longer = addition

Together = sum

are = equals , and 66 = sum.

Decoded, the problem states: The blue string is the length of the red string plus 1/5 of the length of the red string. When the lengths of the blue string and red string are added together, the total length equals 66 inches.

Now, let's convert this problem into some equations we can work with:

Assuming the red string has a length r, and the blue string has a length b.

b = r + 0.2r

r + b = 66

This pair of equations is a system. Let's find the value of r first using substitution:

Since we know that value of b in relation to r, or r + 0.2r, we can substitute that value for b in any equation:

r + r + 0.2r = 66

Simplify:

2.2r = 66

Divide both sides by 2.2.

2.2r / 2.2 = 66 / 2.2

Simplify:

r = 30

So, the length of the red string is 30 inches. Now that we know the value of r, we can substitute again to find the length of the blue string:

b = (30) + 0.2(30)

Simplify:

b = 30 + 6

b = 36

Now, use the second equation in the system to check your answer:

30 + 36 = 66

66 = 66