At the start of summer, Little Crater Lake 1 1/4 inches below normal. By the end of summer, it had decreased an additional 2 3/8 inches. What is it's new level?

Respuesta :

Answer:

The new level is [tex]3 \frac{5}{8}[/tex] inches.

Step-by-step explanation:

Given: At the start of summer, Little Crater Lake is [tex]1 \frac{1}{4}[/tex] inches below normal. By the end of summer, it had decreased an additional [tex]2 \frac{3}{8}[/tex] inches.

To find: What is it's new level?

Solution:

We have,

At the start of summer, Little Crater Lake is [tex]1 \frac{1}{4}[/tex] inches below normal.

So, at the start of the summer, Little Crater Lake is [tex]\frac{5}{4}[/tex] inches below normal.

By the end of summer, it had decreased an additional [tex]2 \frac{3}{8}[/tex] inches.

So, by the end of summer, it had decreased an additional [tex]\frac{19}{8}[/tex] inches.

Now, the new level is [tex]\frac{5}{4} +\frac{19}{8} =\frac{10+19}{8}=\frac{29}{8} =3 \frac{5}{8}[/tex] inches.

Hence, the new level is [tex]3 \frac{5}{8}[/tex] inches.

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