Question

A bowl contains 675 sweets

ratio of red to blue sweets is 3:7
ratio of blue to green sweets is 4:5
calculate the number of blue sweets

Answer 1

We know that the ratio of blue to green sweets is 4:5

We can let y be the number of green sweets

the total number of sweets is 675, and we know that the ratio of blue to green sweets is 4:5, so we can set up the equation:

x + y = 675

where x is the number of blue sweets and y is the number of green sweets.

Also we know that x:y = 4:5

by cross multiplying x * 5 = y * 4

x = (5/4) y

Now we can substitute x in the first equation:

(5/4) y + y = 675

by combining like terms we get:

9/4 y = 675

multiply both sides by 4/9 to get:

y = (675 * 4) / 9

y = 300

the number of blue sweets is:

x = (5/4) y = (5/4) * 300 = 375

so the number of blue sweets is 375.