Question

Three boys spent the afternoon playing a video game and then compared their best scores. Al says, "My best today is 1800 points more than yours, Bob." Carlo says, "I was having a good day. My 7200 points is 2/3 as much as your two scores combined, Al and Bob." How many points did each boy get in his best game that afternoon?

Answer 1

Bob = 4500

Al = 6300

carlo = 7200

Explanation:

the following equations can be derived from the question

A = B + 1800 equation 1 or A - B = 1800

C = 7200 = 2/3 (A + B) equation 2

where A = Al's score

B = Bob's score

C = Carlo's score

Make A + B the subject of the formula in equation 2

A + B = 10,800 equation 3

subtract equation 1 from 3

2B = 9000

B = 4500

Substitute for B in equation 1

A = 4500 + 1800 = 6300