Answered

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Tiffany bought some chocolates and sweets.the number of sweets is 3 times the number of chocolates.after giving away 10 of each,the number of sweets is 5 times the number of chocolates. How many chocolates did she buy

Sagot :

Answer:

she bought 20 chocolates

Step-by-step explanation:

let c be the number of chocolates and s the number of sweets she bought.

The number of sweets s , is 3 times the number of chocolates c, that is

s = 3c → (1)

She then gives 3 of each away , that is she now has

s - 10 sweets and c - 10 chocolates

Now the number of sweets is 5 times the number of chocolates , that is

s - 10 = 5(c - 10)  = 5c - 50 → (2)

substitute s = 3c into (2)

3c - 10 = 5c - 50 ( subtract 3c from both sides )

- 10 = 2c - 50 ( add 50 to both sides )

40 = 2c ( divide both sides by 2 )

20 = c

from (1) : s = 3c = 3 × 20 = 60

She bought 20 chocolates and 60 sweets

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