bryantpropst6006 bryantpropst6006
  • 22-05-2019
  • Mathematics
contestada

Dan, Gordon and Malachy share some sweets in the ratio 4:3:5. Dan gets 48 sweets. How many sweets are there altogether?

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calculista
calculista calculista
  • 31-05-2019

Answer:

144 sweets

Step-by-step explanation:

Let

x----> number of sweets that Dan has

y----> number of sweets that Gordon has

z----> number of sweets that Malachy has

we know that

x=48

x/y=4/3----> y/x=3/4 ----> y=(3/4)x

Substitute the value of x

y=(3/4)48=36

x/z=4/5 ----> z/x=5/4 ----> z=(5/4)x

Substitute the value of x

z=(5/4)48=60

therefore

altogether there are  x+y+z=48+36+60=144 sweets

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