Elsa and Anna share $2000 in the ratio 5 : 3. How much does each of them get?
1 answer:
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Answer:
The cost of one hosta is $6
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
In this case, the variables are:
- x = price of a hosta .
- y = price of a pot of ivy.
If Kim spent $62 on 5 hostas and 4 pots of ivy, t his is represented by the equation: 5*x +4*y= 62
If Danielle spent $144 on 8 hostas and 12 pots of ivy, t his is represented by the equation: 8*x +12*y=144
So, the system of equations to solve is:
One way to solve a system of equations is through the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown, and. Once solved, you calculate the value of x by substituting the already known value of y.
Isolating y from the first equation:
and replacing this expression in the second equation you get:
Solving:
8*x + 3*(62-5*x)=144
8*x + 3*62 - 3*5*x=144
8*x + 186 - 15*x=144
8*x - 15*x=144 -186
(-7)*x= -42
x= (-42)÷ (-7)
x= 6
<u><em>The cost of one hosta is $6</em></u>
Answer:
8 more minutes.
I think the perfect version in your question is:
<em>McGill types 270 words in six minutes his paper is 630 words if he keeps waving at the same rate and how many more minutes when McGill finish typing his paper</em>
Given that:
- 270 words in six minutes <=> 1 minute =
= 45 words
- His paper is 630 words
So, the total minutes he needs to finish the paper if he keeps waving at the same rate is:
=
= 14 minutes.
So he needs 14 minutes to finish writing the paper, but he wrote 270 words in 6 minutes already, so it will take him 14-6 = 8 more minutes.
Hope it will find you well!