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1 answer:
Only 4 books can be bought in the given scenario
Step-by-step explanation:
Let x be the number of books
Then
The cost of books will be represented by 6.50x
According to given statement, that the student cannot spend more than 35
and he also wants to buy one poster worth $5
The inequality will be:
This means that the student can only bur four books and one poster because if he will buy more, the total cost will be more than 30
So,
Only 4 books can be bought in the given scenario
Keywords: Inequality, Word problems
Learn more about inequalities at:
#LearnwithBrainly
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Step 1 :
simplify
Equation at the end of step 1 :
15 (((3 • (x2)) - 4x) - ——) - 3 x
Step 2 :
Equation at the end of step 2 :
15 ((3x2 - 4x) - ——) - 3 x
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using x as the denominator :
3x2 - 4x (3x2 - 4x) • x 3x2 - 4x = ———————— = —————————————— 1 x
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
3x2 - 4x = x • (3x - 4)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • (3x-4) • x - (15) 3x3 - 4x2 - 15 ————————————————————— = —————————————— x x
Equation at the end of step 4 :
(3x3 - 4x2 - 15) ———————————————— - 3 x
Step 5 :
Rewriting the whole as an Equivalent Fraction :
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x as the denominator :
3 3 • x 3 = — = ————— 1 x