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David and Lucy have sweets in the ratio 4:7. Lucy has
27 more sweets. How many does David have?


Sagot :

Answer:

David share is 36 sweets

Step-by-step 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=

[tex]y = \frac{4}{11} \times (2y + 27)[/tex]

[tex]11y = 4(2y + 27)[/tex]

[tex]11y = 8y + 108[/tex]

[tex]11 y- 8y = 108[/tex]

[tex]3y = 108[/tex]

y=108/3= 36