Nina M. answered • 07/23/19
Patient and Calm Teacher and Mom
Let's start with understanding the problem.
*There are 2 different cereals
*One has 1010 g more carbohydrates than the other
*There are 9494 g of carbohydrates altogether
*The question is how many carbohydrates are in each cereal
If this is an algebra problem that means the unknown should be represented with a letter. Since it is cereal, let's use C.
One of the cereals is C and the other is C plus 1010. Write it as an equation.
C+(C+1010)= 9494
Since the Associative Property of addition says that changing the addends grouped together will not change the sum let's group the C's together like this (C+C)+ 1010= 9494
Next step: Subtract the 1010 from both sides to get the C's all by them selves. C+C= 9494-1010
Third step since you have 2 C's you need to split, or divide by 2, the number you got in the last step. C+C is the same as 2C. 2C=8484 so 8484 divided by 2.
Now you have how much one C equals. Remember in our problem that one C (Cereal) had 1010 g more? Don't forget to add that to one of the Cs. So one C equals 4242 and the other C equals 5252.
Let's check your work! Does the total g of the 2 cereals equal 9494 when you add them together? 4242+5252=9494
