Question

David and Lucy have sweets in the ratio 4:7. Lucy has

27 more sweets. How many does David have?

Answer 1

David share is 36 sweets

Explanation:

let Lucy share be x

let David share be y

Lucy has 27 more

x=y+27

total sweet is x+y

y+27 +y= 2y+27

total ratio = 4+7=11

David share=

`y = (4)/(11) * (2y + 27)`

`11y = 4(2y + 27)`

`11y = 8y + 108`

`11 y- 8y = 108`

`3y = 108`

y=108/3= 36