Question

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?
A. a bouquet of 12 flowers, 4 pink and 8 blue
B. a bouquet of 14 flowers, 8 pink and 6 blue
C. a bouquet of 15 flowers, 6 pink and 9 blue
D. a bouquet of 18 flowers, 12 pink and

Answer 1

let's let b = # of boys and g = # of girls

she has 2 boys, so b = 2
"The number of children she has is three times the number of boys she has."

so g + b = 3b
subtracting b from both sides
g = 2b
so there are twice as many girls as boys. looking back at b = 2, that means g = 4

so the ratio of girls:boys is 2:1
go through the answer choices and see which choice has a 2:1 pink to blue ratio **without** going above the total # of flowers (9 blue and 12 pink)