Mrs. gomez is a mother to 2 boys. the number of children she has is three times the number of boys she has. her children are planning to buy her a bouquet of flowers. what is the biggest bouquet they can buy in which the ratio of pink flowers to blue flowers matches the ratio of girls to boys if the florist has 9 blue carnations and 12 pink carnations left?

We want to see what is the biggest bouquet that Mrs. Gomez's children can buy for the given restrictions.

The biggest bouquet they can buy has 18 flowers.

We know that she is a mother of 2 boys, the total number of children is 3 times the number of boys, then she has:

2*3 = 6 children in total.

2 are boys, 4 are girls.

The ratio between girls and boys is:

4/2 = 2

Meaning that there are 2 times as many girls as boys.

Then they must buy the double of pink carnations as the number of blue carnations.

There are 12 pink carnations left and 9 blue carnations left, so the maximum number of pink carnations they can buy is 12.

And they must buy half of that of blue carnations, so they just need to buy 6 blue carnations.

So the total number of flowers in the bouquet is 12 + 6 = 18

The biggest bouquet they can buy has 18 flowers.

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step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: