Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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