Matt has to bake muffins. He uses x eggs for each 200 grams of flour. If he has to use 900 grams of flour how many eggs will he use? I have to set this up as an algebra problem. I am stuck. Our class is just learning this and I don't understand.
carry the units with you, and it will help. You want to convert from grams of flour to eggs
x eggs = 200g
or,
x eggs/200g = 1
you can always multiply by 1 and not change anything.
900 g * x eggs/200g = 900g/200g * x eggs = 9x/2 eggs
Or, since 900 = 9/2 * 200, he will use 9/2 times the eggs used for 200 grams of flour.
900*x divided by 200 ie x9/2
To set up this problem as an algebraic equation, let's first assign variables to the quantities involved. Let:
- x be the number of eggs used for each 200 grams of flour.
- f be the total amount of flour used in grams.
- e be the total number of eggs used.
Based on the information given, we know that Matt uses x eggs for each 200 grams of flour, so we can set up a ratio:
x eggs / 200 grams of flour = e eggs / f grams of flour
Since Matt has to use 900 grams of flour, we can substitute f with 900 in the equation above:
x eggs / 200 grams of flour = e eggs / 900 grams of flour
Now, to solve for e (the total number of eggs used), we can cross-multiply and solve for e:
(x * 900) = (e * 200)
900x = 200e
To find the value of e, divide both sides of the equation by 200:
(900x) / 200 = e
Simplifying further, we get:
e = (9x)
Therefore, the total number of eggs used, e, is equal to 9 times the number of eggs used for each 200 grams of flour, x.