Answer:
5.80
Step-by-step explanation:
How much was the total profit
1412 -1006
406
She sold 70 puppets
The profit per puppet is the profit divided by the number of puppets
406/70
5.80
So, if Dylan has x dollars and he bought 3 tickets with them, the tickets were priced at k dollars per ticket. If he bought 5 tickets with the x dollars and saved 12 total dollars, it would be the same as buying the tickets with x-12 dollars, so we have:
So, with this we have:
If we're looking for a number that satisfies these constraints, we can work with modular arithmetic. We have:
So, we can use the chinese remainder theorem here. So, we clearly have x=3k, which means:
So, since we have x=3k, we also have x=3(5j+4)=15j+12.
So, clearly j=0 won't work so we should have j=1. That means our money per ticket for the five tickets is:
And our money per three tickets is:
This is easily verifiable. Three tickets needs 27 dollars and 5 tickets needs 15 dollars, which is 12 less than 27 dollars. So we have our money per three dollar ticket at 6 more than money per five dollar.
The <em><u>correct answer</u></em> is:
Her variable expenses can be reduced.
Explanation:
In a household budget, you have fixed expenses and variable expenses.
Fixed expenses are expenses that are the same from month to month, such as a car payment, rent, power bill, etc. These cannot be reduced; if you were to pay less on your car payment, your car would be repossessed; paying less than you owe on the power bill can result in your power being disconnected; etc.
Variable expenses are expenses that are different from month to month, such as food, clothing, shopping, etc. If you are dealing with a situation where your wages are less than you anticipate, you can reduce items within your variable expenses to make sure you have enough money. For example, you can purchase fewer clothes that pay period or cut your grocery bill down.
Answer:
h + s = 15
2h + s = 20
Step-by-step explanation:
Let the number of hats Chevy made = h
Let the number of scarves made by Chevy = s
From the statement of the question, " Chevy made a total number of 15 items"
Equation will be h + s = 15
Amount of yarn used to make one hat = 0.2 kilograms
So amount of yarn used to make "h"hats = 0.2h kilograms
Similarly Amount of yarn used to make one scarf = 0.1 kilograms
So amount of yarn used to make "h" scarves = 0.1s kilograms
Another statement states " Chevy wants to use 2 kilograms of yarn to make these items".
Equation for this statement will be,
0.2h + 0.1s = 2
OR 2h + s = 20 [By multiplying the equation by 10]
Therefore, system of the equations will be
h + s = 15
2h + s = 20
