Question

Sienna has 5 3/4 pounds of grapes. She eats 1/8 pound and gives 2 1/2 pounds to her brother. How many pounds of grapes does Sienna have left?

Answer 1

The pounds of grapes left with seinna is 3.125 or $\frac{25}{8}$ pounds

Solution:

Given that Sienna has $5\frac{3}{4}$ pounds of grapes

She eats $\frac{1}{8}$ pound and gives $2\frac{1}{2}$ pounds to her brother

To find: pounds of grapes left with seinna

We can find the pounds of grapes left with seinna by subtracting the pounds of grapes she ate and pounds of grapes she gave to brother from the total pounds of grapes she had

Pounds of grapes left with seinna = total pounds of grapes - pounds of grapes she ate - pounds of grapes she gave to brother

$\text {total pounds of grapes }=5 \frac{3}{4}=\frac{4 \times 5+3}{4}=\frac{23}{4}$

$\text {pounds of grapes she ate }=\frac{1}{8}$

$\text {pounds of grapes she gave to brother }=2 \frac{1}{2}=\frac{2 \times 2+1}{2}=\frac{5}{2}$

Substituting the values we get,

$\text {Pounds of grapes left with seinna }=\frac{23}{4}-\frac{1}{8}-\frac{5}{2}$

$\text { Pounds of grapes left with seinna }=5.75-0.125-2.5=3.125$

Thus the pounds of grapes left with seinna is 3.125 or $\frac{25}{8}$ pounds