Example of factor of sum or difference of two cubes using algebra tiles
not sure tbh
the answer is there are 225 children in the feeding program.
step by step solution:
to compute for the total number of children at the feeding program, allow x to be the number of children at the feeding program. then, 2/3x will represent those that are 8 years old, 2/5 (x - 2/3x) will represent those that are 9 nine years old. if there are 45 children who are ten years old then, 2/3x + 2/5 (x - 2/3x) + 45 = x. simplify the equation by distributing 2/5 to x - 2/3x thus, 2/3x + 2/5x - 4/15x + 45 = x. combine all the similar terms making it 2/3x + 2/5x - 4/15x - x = -45. find the least common denominator for 1, 3, 5, and 15 thus, 2(5)x + 2(3)x - 4x - 15x/15 = -45. then, 10x + 6x - 4x - 15x/15 = -45. 16x - 19x/15 = -45. multiply both sides of the equation by 15 to eliminate the denominator. 15[-3x/15 = -45]15. -3x = -675. divide both sides of the equation to solve for the value of x then, x = 225. if there were 225 children at the feeding program. 2/3(225) = 450/3 = 150, there are 150 children who are 8 years old. since the number of ten year old kids is given, we can now compute for the number of the 9 year old kids thus, 225 - 150 + 45 = 225 - 195 = 30. therefore, there are 30 children aged 9 at the feeding program.
i don’t know what the answer is i wish i could help