Question

Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is the least number of lawns that he can cut and buy the computer? Which inequality represents the problem?​

Answer 1

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The equation representing the given statement is ~

• $50x + 330 \geqslant 820$

The least number of lawns that he can cut and buy the computer is 10 lawns ~

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

Total savings should be greater or equal to $ 820 in order to buy the computer,

And his total savinga is equal to ~

Money he saved + money got from cutting lawns.

let's assume the lawns cut by Tyrod be x,

Money earned by cutting lawns is equal to

• total number of lawns cut × $50

• 50x

total savings is equal to ~

• 330 + 50x

hence,

• $50x + 330 \geqslant 820$

by solving for " x (number of lawns cut) " we get ~

• $50x \geqslant 820 - 330$

• $50x \geqslant 490$

• $x \geqslant 490 \div 50$

• $x \geqslant 9.8$

Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is

• $10$