Question

Flora used 1/5 of her flour to make some pies and 4/15 of it to bake some cakes. She also gave her friend 750g of flour. She had 850g left. How much flour did she use for the cakes?

Answer 1

According to the information given, building and solving an expression, it is found that she used 1400 g of flour for the cakes.

How was the flour divided?

• Her initial amount was of x.

• She used $\frac{x}{5}$ to make some pies.

• She used $\frac{4x}{15}$ to bake some cakes.

• She gave her friend 750g, and had 850g left.

Hence, the expression is:

$\frac{x}{5} + \frac{4x}{15} + 750 + 850 = x$

$x - \frac{x}{5} - \frac{4x}{15} = 1600$

$\frac{15x - 3x - 4x}{15} = 1600$

$8x = 15(1600)$

$x = 15(200)$

$x = 3000$

For the cakes:

$C = \frac{x}{5} + \frac{4x}{15} = \frac{3000}{5} + \frac{4(3000)}{15} = 600 + 800 = 1400$

She used 1400 g of flour for the cakes.

A similar problem, also involving an expression, is given at brainly.com/question/26142208