I m trying to find out the number of how much

Ответ:

chrjergre6520

22.01.2022

Mathematics

Small gift: $2

Large gift: $7

Step-by-step explanation:

Let x represent cost of wrapping each small gift and y represent cost of wrapping each large gift.

We have been given that day one 41 small gifts were wrapped and 45 large were wrapped equaling $397.

We can represent this information in an equation as:

41x+45y=397...(1)

We are also told that day two 30 small gifts were wrapped and 47 large were wrapped equaling $389. We can represent this information in an equation as:

30x+47y=389...(2)

From equation (1), we will get:

$x=\frac{397-45y}{41}$

Upon substituting this value in equation (2), we will get:

$30(\frac{397-45y}{41})+47y=389$

$\frac{11910-1350y}{41}+\frac{47*41y}{41}=389$

$\frac{11910-1350y+1927y}{41}=389$

$\frac{11910+577y}{41}=389$

$\frac{11910+577y}{41}\cdot 41=389\cdot 41$

11910+577y=15949

11910-11910+577y=15949-11910

577y=4039

$\frac{577y}{577}=\frac{4039}{577}$

y=7

Therefore, cost to wrap a large gift is $7.

Upon substituting y=7 in equation $x=\frac{397-45y}{41}$ , we will get:

$x=\frac{397-45(7)}{41}$

$x=\frac{397-315}{41}$

$x=\frac{82}{41}$

x=2

Therefore, cost to wrap a small gift is $2.

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I'm trying to find out the number of how much it cost to wrap each present, day one 41 small gifts were wrapped and 45 large were wrapped equaling $397, day two 30 small gifts were wrapped and 47 large were wrapped equaling $389

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