Mathematics, 10.06.2020 11:57 angmendezdiaz

Hashim had some money. His sister had $75.10. after Hashim gave his mother $28, he had $15.20 less than his sister. How much did he have at first? ps: this is for grade 4 maths. can i get a simplified working for this question? thank you!

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Answer from: rbriezz

$\fbox{\begin{minipage}{6em}87.9 dollars\end{minipage}}$

Step-by-step explanation:

Given:

Hashim had some money.

His sister had $75.10.

After Hashim gave his mother $28, he had $15.20 less than his sister.

Solve for:

The original amount of money Hashim had.

Step 1: Define the problem

Let's say, Hashim had an original amount of money, we call it A

Hashim gave his mother 28$, then his remaining amount of money is A - 28

Hashim's remaining amount of money is 15.2$ less than his sister's amount of money: 75.10$.

Hence, the relation between Hashim's remaining amount of money and his sister's amount of money is expressed as:

A - 28 = 75.1 - 15.2

Step 2: Solve the equation to get A

A - 28 = 75.1 - 15.2

Let's first perform the subtraction on the right side of equation:

A - 28 = 59.9

Now, we move all of numbers to the right side of equation, except A:

(please notice that the sign of 28 will be changed from - to +)

A = 59.9 + 28

Let's perform the addition on the right side of equation to get A:

A = 87.9$

=> Hashim's original amount of money: A = 87.9$

Hope this helps!

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is