Question

Paul has 2/3 as many postcards as Shawn. The number of postcards Shawn has is 3/5 of the number of postcards Tim has. If the three boys have 280 postcards altogether, how many more postcards does Tim have than Paul

Answer 1

Tim has 84 more postcards than Paul.

Step-by-step explanation:

Given,

Total number of postcards = 280

Let,

Tim's share of postcards = x

Shawn's share of postcards = $\frac{3}{5}\ of\ Tim's\ share$ = $\frac{3}{5}x$

Paul's share of postcards = $\frac{2}{3}\ of\ Shawn's=\frac{2}{3}(\frac{3}{5}x)=\frac{2}{5}x$

According to given statement;

$x+\frac{3}{5}x+\frac{2}{5}x=280$

Taking LCM

$\frac{5x+3x+2x}{5}=280\\\\\frac{10x}{5}=280\\\\2x=280$

Dividing both sides by 2

$\frac{2x}{2}=\frac{280}{2}\\x=140$

Paul's share = $\frac{2}{5}x=\frac{2}{5}(28)=56$

Difference = Tim's share - Paul's share

Difference = 140 - 56 = 84 cards

Tim has 84 more postcards than Paul.

Keywords: addition, fraction

Learn more about fractions at:

• brainly.com/question/1485338
• brainly.com/question/1491432

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