# Worded problem: Follow these guided instructions to solve the worded problem below. a) Assign a variable (name your variable) b) write expression/s us

Worded problem: Follow these guided instructions to solve the worded problem below.
a) Assign a variable (name your variable)
b) write expression/s using your assigned variable,
d) Solve the algebraic inequality
Worded Inequality problem:
Your math test scores are 68, 78, 90 and 91. What is the lowest score you can earn on the next test and still achieve an average of at least 85?
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Step 1
Given: Math test scores are 68,78,90 and 91.
To find: The next lowest score on the next test and still achieve an average of at least 85.
Solution:
Average marks is given by formula:

Let marks scored in next be x.
Total number of test including next will be 5.
Therefore,
Average = sum of marks in test/number of test
$85=\frac{68+78+90+91+x}{5}$
$85×5=327+x$
$425=327+x$
$x=425-327$
$x=98$
Step 2
Hence, least marks required to achieve average marks of 85 is 98.