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A grasshopper jumps along a straight line forward by 80 cm or backward by 50 cm. Can it move away from the starting point by exactly 1 meter 70 cm in fewer than 7 jumps?
According to the condition, it is not necessary to move forward!

## Solution

After several unsuccessful attempts to move 1 m 70 cm forward, it may seem that the answer is "no". Notice that moving 1 m 70 cm does not necessarily mean moving forward. Let's try moving backward. 170 $=50 \cdot 5-80$.

## Answer

Yes, it can. For example, 5 jumps backward and 1 forward.