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Given:
The ratio of red and blue cubes is 4:7.
After adding 10 more red cubes the ratio of red and blue cubes is 6:7.
To find:
The number of blue cubes.
Solution:
The ratio of red and blue cubes is 4:7.
Let the number of red and blue cubes be 4x and 7x respectively.
After adding 10 more red cubes.
Number of red cubes = 4x+10
Then, the ratio of red and blue cubes is 6:7.
Divide both sides by 14.
Now,
Number of blue cubes in the bag is
Therefore, the number of blue cubes is 35.
<u>Given</u>:
The given equations are and
We need to determine the pair of numbers that is a member to the system of equations.
<u>Pair of numbers:</u>
The pair of numbers can be determined by solving the system of equations.
Let us use the substitution method to solve the equations.
Substituting in the equation
, we have;
Thus, the value of x is 1.
Substituting x = 1 in the equation , we get;
Thus, the value of y is 7.
Hence, the pair of numbers that is a member of both the equations are (1,7)