Question

Salma and Jared each threw 5 darts at the target shown. Salma scored 19 points by landing 2 darts in A and 3 in B. Jared scored 17 points by landing 1 dart in A and 4 in B. How many points are given for a dart landing in A?

Answer 1

Explanation:

2a + 3b = 19 equation 1

1a + 4b = 17 equation 2

Multiply equation 2 by 2

2a + 8b = 34 equation 3

Subtract equation 1 from 3

5b = 15

b = 3

Substitute for b in equation 1

2a + 3(3) = 19

2a = 9 = 19

2a = 10

a = 5

Answer 2

5

Explanation:

this can be solved using simultaneous equation

2a + 3b = 19 equation 1

1a + 4b = 17 equation 2

Multiply equation 2 by 2

2a + 8b = 34 equation 3

Subtract equation 1 from 3

5b = 15

b = 3

Substitute for b in equation 1

2a + 3(3) = 19

2a = 9 = 19

2a = 10

a = 5