Question

Carl is raising money for his football team. He is selling chocolate bars for $1.50 each and cookies for $2. He sold all 20 of hid chocolate bars. Carl wants to raise at least $55 for his team. Which inequality represents the minimum number.Of cookies. C, carl has to sell in irder to meet his goal

Answer 1

Carl has to sell at least
`8` cookies.

`c\geq 7.5`

Explanation:

Carl gets
`\$1.50` by selling 1 chocolate bar.

Earning from chocolate bars:

`Total\ chocolate\ bar=20\\\\Earning\ from\ one\ chocolate\ bar=\$1.50\\\\Total\ earning\ from\ chocolate\ bar=Total\ chocolate\ bar* cost\ of\ 1\ chocolate\ bar=20* 1.5=\$30`

Earning From cookies:

`Let\ total\ number\ of\ cookies=c\\\\Cost\ of\ 1\ cookie=\$2\\\\Earning\ from\ cookies=2* c=2c`

`Total\ earning=Earning\ from\ cookies+Earning\ from\ cookies+Earning\ from\ chocolate\ bars\\\\Total\ earning=30+2c`

Carl wants to raise at least
`\$55`

`Total\ earning\geq 55\\\\2c+30\geq 55\\\\2c\geq 55-30\\\\2c\geq 15\\\\c\geq7.5`