Question

Mrs. Trevino was asked to provide at least 120 bagels for a workshop. She already has 2 dozen bagels. Mrs. Trevino will buy the remaining bagels in packages of 6. which inequality shows all the values of x if x equals the number of packages or bagels she could buy, beginning wath the minimum value of x? You must write and solve an inequality to receive credit.

Answer 1

hello!

First, we have "at least 120 bagels"

So we write ≥120 bagels.

Now, we are given that:-

Mrs. Trevino already has 2 dozen bagels.

Remember, a dozen is equal to 12, so if we have 2 dozen, then we have

`\sf{2*12=24}\longleftarrow\sf{Mrs.Trevino~already~has~24~bagels}`

Now, she'll buy the remaining bagels in packages of 6, so we write

6x (packages of 6)

So the inequality looks like so:-

`\sf{6x+24\geq 120}`

Now, let's solve the inequality :)

First, subtract 24 from both sides:-

`\sf{6x\geq 120-24}`

`\sf{6x\geq 96}`

Divide both sides by 6:-

`\bigstar{\boxed{\pmb{x\geq 16}}}\longleftarrow\sf{number~of~packages~she~should~buy}`

note:-

Hope everything is clear :)