Question

1. solve each of the following equations. show the work that leads to your answer.

(a) $x + 8.52 = 11.39$ (b) $n - 1.875 = 9.366$

1. solve each of the following equations. show the work that leads to your answer.

(a) $6.4n = 77.44$ (b) $\frac{x}{28} = 0.72$

using your math

1. vivian divides the total amount of money she has evenly between her three children. each child receives $8.84. let $m$ be the total money that vivian has. write an equation involving $m$ and solve it for the total amount of money that vivian has (or had).

1. tonia scored 24 points in a video game. tonia’s score was three - fifths of the number of points that ada scored. let $n$ be the number of points that ada scored. write an equation involving $n$ and then solve it to determine ada’s score.

Explanation:

Problem 4(a)

Step1: Isolate x by subtracting 8.52

$x = 11.39 - 8.52$

Step2: Calculate the difference

$x = 2.87$

Problem 4(b)

Step1: Isolate n by adding 1.875

$n = 9.366 + 1.875$

Step2: Calculate the sum

$n = 11.241$

Problem 5(a)

Step1: Isolate n by dividing by 6.4

$n = \frac{77.44}{6.4}$

Step2: Calculate the quotient

$n = 12.1$

Problem 5(b)

Step1: Isolate x by multiplying by 28

$x = 0.72 \times 28$

Step2: Calculate the product

$x = 20.16$

Problem 6

Step1: Set up the division equation

$\frac{m}{3} = 8.84$

Step2: Isolate m by multiplying by 3

$m = 8.84 \times 3$

Step3: Calculate the product

$m = 26.52$

Problem 7

Step1: Set up the fraction equation

$\frac{3}{5}n = 24$

Step2: Isolate n by multiplying by $\frac{5}{3}$

$n = 24 \times \frac{5}{3}$

Step3: Calculate the product

$n = 40$

Answer:

1. (a) $x=2.87$

(b) $n=11.241$

1. (a) $n=12.1$

(b) $x=20.16$

1. $m=26.52$
2. $n=40$