Question

18. The numbers of roses, sunflowers and tulips a f
florist
has are in the ratio 5:6:9.
After the florist sells 50 roses, the ratio becomes
3:4:6.
Find the number of roses left after 50 of them are
sold

Use algebra

1. The number of roses left after 50 of them are sold will be 450 roses.

### What are ratios and proportions?

An ordered pair of numbers, a and b, is referred to as a ratio when b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
It is given that R: S: T is 5: 6: 9 <- before selling 50 R and after 50 roses are sold the ratio is 3: 4: 6 <- after selling 50 R.
Find the remaining number of R.
9 / 6 = 1,5
6 / 4 = 1,5
3 × 1,5 = 4,5
Let the number of roses before sold be n then the number of roses left will be calculated as below:-
5/4,5 = n/n-50
50/45 = 10n/(10(n-50))
450n = 500(n-50)
450n = 500n – 2500
(500-450)n = 2500
50n = 2500
n = 2500/50
n = 500 roses
500 – 50 roses = 450 roses
Therefore, the number of roses left after 50 of them are sold will be 450 roses.
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