Kate's golf score was 1 less than three fourths of Greg's golf score. If the sum of their scores was 153, find Kara's hold score.

Question

asked May 15, 2018 4.4k views

2 Answers

Ben Swanson · Answer 1 · 2018-05-19T14:10:06+0000

Answer: Kate's score is 65.

Step-by-step explanation: Given that Kate's golf score was 1 less than three fourths of Greg's golf score and the sum of their scores was 153.

We are to find Kate's score.

Let x and y represents Greg's score and Kate's score respectively.

Then, according to the given information, we have

y=(3)/(4)x-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

and

$x+y=153\\\\\Rightarrow x+(3)/(4)x-1=153\\\\\\\Rightarrow (7)/(4)x=154\\\\\Rightarrow (x)/(4)=22\\\\\Rightarrow x=22*4\\\\\Rightarrow x=88.$

From equation (i), we get

y=(3)/(4)*88-1=66-1=65.

Thus, Kate's score is 65.