Question 101589
Shaquita average score on her first three math test is 77. she score 62 on the first test.On the third score, she score 9 more than she score on her second test. what did she score on the second and third test?
:
Let x = the second test score
then
(x+9) = the 3rd test score
:
{{{(62 + x + (x+9))/3}}} = 77
:
{{{(2x + 71)/3}}} = 77; combine like terms
:
Multiply equation by 3 to get rid of the denominators, resulting in:
2x + 71 = 3(77)
:
2x + 71 = 231
:
2x = 231 - 71
:
2x = 160
:
x = 160/2
:
x = 80 is the score on her 2nd test, obviously then, 89 is the 3rd test
:
:
Check solution: {{{(62 + 80 + 89)/3}}} = 77