Hattie and her friend Lorelei are doing a jumping contest using a jumping rope. Hattie does 180 jumps in the first round, while Lorelei jumps 3/4 as many times as Hattie jumped. In the second round, Lorelei does 50 more jumps than Hattie. If Hattie managed to jump 2/3 times the number of jumps she did in the first round, calculate the total number of jumps the two did in the two rounds.
In the first round, Lorelei did 3/4 * 180 jumps = 
<gadget id="calculator">3/4*180</gadget>
<output>135</output>
135 jumps.
In the second round, Hattie did 2/3 * 180 jumps = 
<gadget id="calculator">2/3*180</gadget>
<output>120</output>
120 jumps, while.
Lorelei did 120 jumps + 50 jumps = 
<gadget id="calculator">120+50</gadget>
<output>170</output>
170 jumps.
The total number of jumps for the two in both rounds is 170 jumps + 120 jumps + 135 jumps + 180 jumps = 
<gadget id="calculator">170+120+135+180</gadget>
<output>605</output>
605 jumps.

<result>605</result>