Question

Together, teammates Pedro and Ricky got 2670 base hits last season. Pedro had 280 more hits than Ricky. How many hits did each player​ have?

Answer 1

Ricky hit 1195

Pedro hit 1475

Explanation:

Let p = the number of hits Pedro hit

Let r = the number of hits Ricky hit

p + r = 2670

r + 280 = p substitute r + 280 for p in the first equation

p + r = 2670

r + 280 + r = 2670 Combine like terms

2r + 280 = 2670 Subtract 280 from both sides

2r + 280 - 280 = 2670 - 280

2r = 2390 Divide both sides by 2

`(2r)/(2)` =
`(2390)/(2)`

r = 1195

Ricky hit 1195

Pedro hit 1475 (2670 - 1195)

Check:

p + r = 2670

1475 + 1195 = 2670

2670 = 2670 checks

r + 280 = p

1195 + 280 = 1475

1475 = 1475 checks