Question

Jennifer has 4/5 as many pictures on her camera has Luisa does. Jennifer has 28 pictures on her camera. how many pictures do Jennifer and Luisa have in all?

a.63
b.60
c.70
d.35

Answer 1

Let us assume the number of pictures that Luisa has = x
Number of pictures Jennifer has in her camera = 4x/5
It is also given in the question that Jennifer has a total of 28 pictures in her camera.
Then we can write the equation as
4x/5 = 28
4x = 28 * 5
4x = 140
x = 140/4
  = 35
So the number of pictures that Luisa has = 28
Number of pictures that Jennifer and Luisa have in all is = 28 + 35
                                                                                          = 63
So the correct option among all the options given in the question is option "a".

Answer 2

The total number of pictures in the camera of Jennifer and Luisa is $\boxed{{\mathbf{63}}}$.

Further explanation:

Procedure used:

First find the number of pictures in Luisa’s camera and then find the total picture by adding them.

Given  

It is given that Jennifer has 28 pictures that is $\dfrac{4}{5}$ of Luisa’s pictures.

Step by step explanation:

Step 1:

Jennifer has 28 pictures that is $\dfrac{4}{5}$ of Luisa’s pictures.

Consider $x$ as the number of pictures that Luisa has.

The equation for the number of pictures in Jennifer’s camera can be represented as,

$\dfrac{4}{5}{\text{ of }}x = 28$

The $\dfrac{1}{5}$ of pictures is the one fourth of $\dfrac{4}{5}$.

Therefore, 7 pictures is the one fifth part of Luisa pictures.

Step 2:

Now find the number of pictures with Luisa on her camera.

$\begin{aligned}\frac{4}{5}{\text{ of }}x &= 28 \\\frac{4}{5}x &= 28 \\x&= 28 \times \frac{5}{4} \\x &= 35\\\end{aligned}$  

Therefore, Luisa has 35 pictures on her camera.

The Luisa pictures is the five times of $\sfrac{1}{5}$ pictures.

Step 3:

The total pictures with Jennifer and Luisa have can be calculated as,

$\begin{aligned}{\text{total pictures}} &= 28 + 35 \\&= 63 \\\end{aligned}$  

Therefore, the total number of pictures in the camera of Jennifer and Luisa is $63$.

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Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Fraction problems

Keywords: Jennifer, Luisa, camera, pictures, fraction, multiply, divide, numbers, one fourth, one fifth, total pictures