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
