joeyrorick6125 joeyrorick6125
  • 27-05-2020
  • Mathematics
contestada

Alex, Stephen and Bridget share some sweets in the ratio 1:5:3. Alex gets 10 sweets. How many did Bridget get? Please help...

Respuesta :

joaobezerra joaobezerra
  • 28-05-2020

Answer:

Bridget got 30 sweets.

Step-by-step explanation:

Alex got [tex]\frac{1}{1+5+3} = \frac{1}{9}[/tex] of the total amount.

Stephen got [tex]\frac{5}{1+5+3} = \frac{5}{9}[/tex] of the total amount.

Bridget got [tex]\frac{5}{1+5+3} = \frac{3}{9}[/tex] of the total amount.

Alex got 10 sweets.

10 is (1/9) of the total amount, T. So

[tex]10 = \frac{T}{90}[/tex]

[tex]T = 90[/tex]

Bridget got 3/9 of the total amount.

3/9 of 90. So

[tex]\frac{3*90}{9} = 30[/tex]

Bridget got 30 sweets.

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