To make banana bread, Colin uses 3 4 of a cup of brown sugar for every 2 cups of flour. How much brown sugar should Colin use to make a small batch with only 1 cup of flour? Simplify your answer and write it as a proper fraction, mixed number, or whole number.

3/8

Step-by-step explanation:

To make banana bread, Colin uses

3/4 cup of brown sugar for 2 cups of flour

That is for every 3/4 cup of brown sugar = 2 cups of flour.

The amount of sugar needed for 1 cup of flour was not given hence, let it be represented with 'Y'.

So,

Y cup of brown sugar = 1 cup of flour

Through proportion, we have:

3/4 cup of brown sugar = 2 cups of flour

Y cup of brown sugar = 1 cup of flour

Cross multiplying

3/4 = 2

Y = 1

2y = 1×3/4

y = 3/4 ÷ 2

y = 3/4 × 1/2

y = 3/8

Hence, 3/8 cup of brown sugar will be needed for 1 cup of flour.

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.