Question

Ann and Ruth bowled together and had a combined score of 410 points. Ann's score was 44 points less than Ruth's score. Which system of equations can be used to determine x, Ann's score and y, Ruth's score.

Answer 1

x + y = 410

x = y - 44

Explanation:

The question asks us to set up a system of equations using "x" to represent Ann's score, and "y" to represent Ruth's score. We know that they had a combined score of 410 points, which is another way of saying that the sum of the two scores is 410. This gives us our first equation, which is:

x + y = 410

The question tells us that Ann scored 44 points less than Ruth, which means our second equation would be...

x = y - 44

Therefore our system of equations is:

x + y = 410

x = y - 44