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Ostrovityanka [42]
3 years ago
9

henry had 20 convertibles and 5 trucks in his miniature car collection.After Henry's aunt bought him some more miniature trucks,

Henry found that one-fifth of his collection consisted of convertibles .how many trucks did his aunt buy?

Mathematics
2 answers:
tester [92]3 years ago
6 0

Answer:

75

Step-by-step explanation:

Henry started with 20 convertibles and 5 trucks.

His aunt bought him x miniature trucks.

Now, his convertibles represent 1/5 of his collection.  How many trucks did her aunt buy?

So, if his convertible represent 1/5 of his collection now, that means his collection is 5 times larger than the number of convertibles.  We know he has 20 convertibles... so the collection now counts 100 (5 * 20) items.

Out of 100 items, we remove the 20 convertibles to get a total of 80 trucks.

Then we subtract the initial 5 trucks... so, his aunt bought him 75 trucks.

Oksi-84 [34.3K]3 years ago
4 0

His aunt bought 75 trucks

<h3>Further explanation</h3>

Order of Operations in Mathematics follow this following rule :

  • Parentheses
  • Exponents
  • Multiplication and Division
  • Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem!

Let :

<em>Number of Additional Miniature Trucks from Henry's Aunt = X</em>

<em>Initial Number of Convertibles = 20</em>

<em>Initial Number of Trucks = 5</em>

<em>Henry's aunt bought him some more miniature trucks,Henry found that one-fifth of his collection consisted of convertible.</em>

\frac{1}{5}( 20 + 5 + x ) = 20

\frac{1}{5}( 25 + x ) = 20

( 25 + x ) = 20 \div \frac{1}{5}

25 + x = 20 \times \frac{5}{1}

25 + x = \frac{20 \times 5}{1}

25 + x = \frac{100}{1}

25 + x = 100

x = 100 - 25

x = \boxed {75 ~ \texttt{trucks}}

<h2>Conclusion:</h2>

Henry's aunt bought him 75 trucks

<h3>Learn more</h3>
  • Perimeter of Rectangle : brainly.com/question/12826246
  • Elimination Method : brainly.com/question/11233927
  • Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

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