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

Question

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] · Answer 1 · 2022-07-20T16:43:57+03:00

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] · Answer 2 · 2022-07-20T19:04:01+03:00

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>

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