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Ratio

There are only blue sweets green sweets and red sweets in a box.
The ratio of the number of blue sweets to the number of green sweets is 3:5.
The ratio of the number of green sweets to the number of red sweets is 6:1

There are less than 270 sweets in the box.
What is the greatest number of red sweets in the box?

I got so far as to making the ratio 18:30:5 although I don't think its right because it adds to 53 and when I try to divide it into 270 ( I also tried 269 ) I get some mad decimal, I think I'm doing something really wrong can anyone help?
(edited 5 years ago)
Reply 1
Avatar for mqb2766
mqb2766
21
Original post by ASJ_12
There are only blue sweets green sweets and red sweets in a box.
The ratio of the number of blue sweets to the number of green sweets is 3:5.
The ratio of the number of green sweets to the number of red sweets is 6:1

There are less than 270 sweets in the box.
What is the greatest number of red sweets in the box?

I got so far as to making the ratio: 18:30:5 although I don't think its right because it adds to 53 and when I try to divide it into 270 ( I also tried 269 ) I get some mad decimal, I think I'm doing something really wrong can anyone help?

THere are less than 270 sweets. You've done the hard part correctly.
Reply 2
Avatar for angela_12
angela_12
OP
16
Original post by mqb2766
THere are less than 270 sweets. You've done the hard part correctly.

I'm not following. Would you mind explaining again?
Reply 3
Avatar for mqb2766
mqb2766
21
Original post by ASJ_12
I'm not following. Would you mind explaining again?

What is the largest number less than 270, and divisible by 53?
The number of sweets in the box for the different colours must be an integer.
Reply 4
Avatar for angela_12
angela_12
OP
16
Original post by mqb2766
What is the largest number less than 270, and divisible by 53?

265?
Reply 5
Avatar for angela_12
angela_12
OP
16
Original post by ASJ_12
265?

Ohhhhhhh.... I get it now! Thank you! Thank you!

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