Question

There are only pink buttons, blue buttons and green buttons in a jar. The ratio of the number of pink buttons to the number of blue buttons is 2:7 The ratio of the number of blue buttons to the number of green buttons is 3:4 There are less than 170 buttons in the jar. Work out the greatest number of green buttons in the jar.​

Answer 1

Greatest amount of green buttons is: 84

Step-by-step explanation:

P : B B : G

2 : 7 3 : 4

7 x 3 = 21

2 x 3 = 6

4 x 7 = 28

P : B : G

6 : 21 : 28

6+21+28 = 55

170/55 = 3.09 (round to nearest whole number)

Finally,

28 x 3 = 84

Answer 2

The greatest number of green buttons in the jar is 86.

What is the ratio?

A ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

There are only pink buttons, blue buttons, and green buttons in a jar.

The ratio of the number of pink buttons to the number of blue buttons is 2:7.

The ratio of the number of blue buttons to the number of green buttons is 3:4.

There are less than 170 buttons in the jar.

Pink: Blue = 2:7 = 2 × 6: 7 × 6 = 12:42

Blue:Green = 3:4 = 3 × 14: 4 × 14 = 42:56

Pink:Blue;Green = 21:42:56 = 6:21:28

The greatest number of green buttons in the jar is;

$\rm Green \ Buttom =\dfrac{28}{6+21+28}\times 170\\\\ Green \ Buttom =\dfrac{28}{55}\times 170\\\\ Green \ Buttom =\dfrac{4760}{55}\\\\ Green \ Buttom =86.54\\\\Green \ Buttom =86$

Hence, the greatest number of green buttons in the jar is 86.

Learn more about ratios here;

https://brainly.com/question/24123486

#SPJ2