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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?​

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 c class=

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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equation representing the given statement is ~

  • [tex]50x + 330 \geqslant 820[/tex]

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

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

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,

  • [tex]50x + 330 \geqslant 820[/tex]

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

  • [tex]50x \geqslant 820 - 330[/tex]

  • [tex]50x \geqslant 490[/tex]

  • [tex]x \geqslant 490 \div 50[/tex]

  • [tex]x \geqslant 9.8[/tex]

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

  • [tex]10[/tex]