Question

Need help with problem 40,41 and 42! 15 points

Answer 1

Answer:

40) w = 32/3

41) x = 23/4

42) w = 1/12

Step-by-step explanation:

40) Real world problem:

If Lisa takes $7\frac{3}{8}$ of the pie from a total of $w$ slices, then the remaining pie is $3 \frac{7}{24}$. Find w.

So, the equation would become:

$w - 7 \frac{3}{8} = 3 \frac{7}{24}$

$\implies w = 3 \frac{7}{24} + 7 \frac{3}{8}$

This can be written as:

$w = 3 + \frac{7}{24} + 7 + \frac{3}{8}$

This is equivalent to $3 + \frac{7}{24} + 7 + \frac{9}{24}$

Since, the denominator is the same, the numerators can be added now.

$\implies  w = 10 + \frac{16}{24}$

$\implies w = 10 + \frac{2}{3}$

$i.e., w = 10 \frac{2}{3} = \frac{32}{3}$

Hence, the answer is 32/3.

41) The given equation is: $2 \frac{1}{2} + x = 8\frac{1}{4}$

$2 \frac{1}{2} = \frac{5}{2}$ and

$8 \frac{1}{4} = \frac{33}{4}$

So, $x = \frac{33}{4} - \frac{10}{4}$

$\implies x = \frac{23}{4}$

The answer is 23/4.

42) The given equation is $w - \frac{1}{3}  = \frac{5}{12}$

$\implies w = \frac{5}{12} - \frac{1}{3}$

$w = \frac{5}{12} - \frac{4}{12}$

$w = \frac{1}{12}$

The answer is 1/12.