June, Gavyn and Alex share some sweets in the ratio 5:5:3. June gets 22 more sweets than Alex. How many sweets are there altogether?

Respuesta :

Step-by-step explanation:

Let the shares of June, Gavyn and Alex be 5x, 5x and 3x respectively.

According to the given condition:

[tex]5x = 3x + 22 \\ \\ \therefore \: 5x - 3x = 22 \\ \\ \therefore \: 2x = 22 \\ \\ \therefore \: x = \frac{22}{2} \\ \\ \therefore \: x = 11 \\ \therefore \: 5x =5 \times 11 = 55 \\ \&\:3x = 3 \times 11 = 33 \\ \\ total \: no \: of \: sweets \\ = 5x + 5x + 3x \\ = 55 + 55 + 33 \\ = 143 \\ [/tex]

Answer:

143

Step-by-step explanation: