Mathematics, 27.08.2019 22:40 Emorej22

Abbie spent 5/8 of her money and saved the rest. if she spent $45. how much money did she have at first?

Answers: 1

Show answers

Answers

Answer from: captaincluck52

$72

Further explanation

Given:

Abbie spent $\frac{5}{8}$ of her money and saved the rest. She spent $45.

Question:

How much money did she have at first?

The Process:

Let us design a diagram that matches the above situation.

$\boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot}$

1 unit represents 1 part of all the money she had at first.

Abbie spent $\frac{5}{8}$ of her money and saved the rest, that is $\boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot}$ or 5 of 8 units.

From the diagram she spent above, 5 units exactly match the $ 45 she spent.

$\boxed{ \ 5 \ units = \$ 45 \ }$

$\boxed{ \ 1 \ unit = \$ \ ? \ }$

$\boxed{ \ \$ 45 \div 5 \ units = \$ 9 \ }$

Therefore, $\boxed{ \ 1 \ unit = \$ 9 \ }$

Abbie had 8 units at first.

Let's count how much money did she have at first.

$\boxed{ \ 1 \ unit = \$ 9 \ }$

$\boxed{ \ 8 \ unit = \$ \ ? \ }$

$\boxed{ \ = 8 \times 9 \ }$

$\boxed{\boxed{ \ \$ 72 \ }}$

Thus, she had $ 72 at first.

- - - - - - - - - -

Quick Steps

$\frac{5}{8}$ of her money at first is $45.

The money she had at first is

$\boxed{ \ \$ 45 \div \frac{5}{8} = \ ? \ }$

$\boxed{ \ = \$ 45 \times \frac{8}{5} \ }$

We crossed out 45 and 5.

$\boxed{ \ = \$ 9 \times \frac{8}{1} \ }$

$\boxed{\boxed{ \ \$ 72 \ }}$

Learn moreWhat fraction of the property is used for the garden? How much water did Patrick drink altogether How many total yards did he have?

Keywords: Abbie spent, 5/8 of her money, and, saved the rest, if, she spent, $45, how much, she have at first, diagram, unit, part

Answer from: Quest

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

Answer from: Quest

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

$ab^2+ac^2=bc^2$

$ab^2+ac^2=x^2$ )

triangle abd and cba are similar,

$\frac{ab}{bc}=\frac{bd}{ab}$

$ab^2=bc\cdot bd$

$25=bc\cdot bd$ (2)

triangle cad and cba are similar,

$\frac{ac}{bc}=\frac{cd}{ac}$

$ac^2=bc\cdot dc$

$7\times 7=bc\cdot dc$

$49=bc\cdot dc$ )

using (1), (2) and (3), we get

$25+49=x^2$

$74=x^2$

hence proved.

therefore option 2 is correct.

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 17:00, burgoonp

Me on this one i will give you 20pts. answer should be in detail . this is the discussion topic. one of the most fiercely debated topics in sports is the hot hand theory. the hot hand theory says that success breeds success. in other words, rather than each shot a basketball player takes or each at-bat a baseball player has being an independent event, the outcome of one event affects the next event. that is, a player can get hot and make a lot of shots in a row or get a lot of hits in a row. the hot hand theory, however, has been shown to be false in numerous academic studies. read this article, which discusses the hot hand theory as it relates to a professional basketball player. state whether you agree or disagree with the hot hand theory, and give reasons for your opinion. be sure to use some of the terms you’ve learned in this unit, such as independent event, dependent event, and conditional probability, in your answer.

Answers: 2

continue

Mathematics, 21.06.2019 19:30, sb6998

In need of in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.

Answers: 1

continue

Mathematics, 21.06.2019 21:30, bjbass899

40) linda was making chocolate truffles for the first day of school. the recipe for 20 chocolate truffles is: i cup of cream 2 cups of dark chocolate she noticed this will not be enough truffles for the 42 sure that all students in each homeroom next year. to be sure that all students receive a truffle, linda must adjust her recipe. a. complete the recipe for 42 truffles cups of cream - cups of dark chocolate work:

Answers: 2

continue

Mathematics, 22.06.2019 00:00, daphnevlogs11

Which diagram shows lines that must be parallel lines cut by transversal?

Answers: 3

continue

You know the right answer?

Abbie spent 5/8 of her money and saved the rest. if she spent $45. how much money did she have at fi...