Clara snacked on a mix of almonds and pecans. She ate 3 almonds for every 1 pecan.

Question

If Clara ate 10 more almonds than pecans, how many nuts did she eat altogether?
__nuts

Answer 1

Let x be the number of pecans Clara ate.

Since she ate 3 almonds for every 1 pecan, she ate 3x almonds.

According to the information given, she ate 10 more almonds than pecans, so:

3x = x + 10
2x = 10
x = 5

So, Clara ate 5 pecans and 3 x 5 = 15 almonds.

Altogether, she ate 5 + 15 = 20 nuts.