Answer:
The first one (2 bread 4 muffin)
Step-by-step explanation:
3.5(2) + 2.5(4) = 17
0.75(6) = 4.5 (six is the number of batches)
I hope this helps!
An equation is formed of two equal expressions. The correct option is C, 4 loaves of bread and 2 batches of muffins.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of loaves of bread that can be baked be represented by x, while the number of batches of muffins is represented by y.
Given that Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins, the total cups of flour that Helena has is 17. Therefore, we can write,
3.5x + 2.5y = 17
Solving the equation for x,
x = (17 - 2.5y)/3.5
Also, given that Helena needs 0.75 cups of sugar per loaf of bread and 0.75 cups of sugar per batch of muffins, while Helena has 4.5 cups of sugar. Therefore, we can write,
0.75x + 0.75y = 4.5
Simplifying the equation,
0.75(x + y) = 4.5
x + y = 6
Substituting the value of x in the equation,
x + y = 6
(17 - 2.5y)/3.5 + y = 6
17 - 2.5y + 3.5y = 21
y = 21 - 17
y = 4
Substitute the value of y in the equation again,
x + y = 6
x + 4 = 6
x = 6 - 4
x = 2
Hence, the combination of loaves of bread and batches of muffins that Helena could bake is 4 loaves of bread and 2 batches of muffins.
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