A competition requires teams to attempt 10 long jumps and 5 high jumps. Each successful long jump is worth the same number of points, and each successful high jump is worth the same number of points. Team A completed all 15 jumps, receiving 20 points. Team B succeeded in only 8 long jumps and 2 high jumps, earning 10 points. Team C missed 2 long jumps and successfully completed all the high jumps. How many points did Team C score?
Choose the correct option:
A) 12 B) 13 C) 15 D) 18 E) 19
From Team A: 10x+5y = 20   From Team B: 8x+2y=10   Solve using whatever method you choose (i.e. substitution or elimination) --&gt; x  8 +2= 
<gadget id="calculator"> 8 +2</gadget>
<output>10</output>
10   Solve using whatever method you choose (i.e. substitution or elimination) --&gt; x= 1/2 &amp; y = 3   Team C: 8(1/2) + 5(3) = 19   Answer is 19
<result>E</result>
A competition requires teams to attempt 10 long jumps and 5 high jumps. Each successful long jump is worth the same number of points, and each successful high jump is worth the same number of points. Team A completed all 15 jumps, receiving 20 points. Team B succeeded in only 8 long jumps and 2 high jumps, earning 10 points. Team C missed 2 long jumps and successfully completed all the high jumps. How many points did Team C score?