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PolarNik [594]
2 years ago
15

Nathaniel builds birds and birdhouses using Lego blocks. Let B represent the number of birds and H represent the number of birdh

ouses that Nathaniel can build with his Lego blocks. 43B + 215H? 3000 Nathaniel wants to build 50 birds using Lego blocks. How many birdhouses can he build at most with the remaining Lego blocks?

Mathematics
2 answers:
Cloud [144]2 years ago
8 0

Answer:

3 birdhouses

Step-by-step explanation:

N76 [4]2 years ago
3 0

Answer:

At-most 3 birdhouses.

Step-by-step explanation:

Let B represent the number of birds and H represent the number of birdhouses that Nathaniel can build with his Lego blocks.

We have been given that Nathaniel builds birds and birdhouses using Lego blocks. The inequality 43B+215H\leq3000 represents the number of birds and birdhouses Nathaniel could build.

To find the number of birdhouses that Nathaniel can build after making 50 birds, we will substitute B=50 in our given inequality and then solve for H.

43*50+215H\leq3000

2150+215H\leq3000

Let us subtract 2150 from both sides of our inequality.

2150-2150+215H\leq3000-2150

215H\leq850

Let us divide both both sides of our inequality by 215.

\frac{215H}{215}\leq\frac{850}{215}

H\leq3.953488

As Nathaniel can make build less than or equal to 3.953488 and the biggest integer less than or equal to 3.953 is 3, therefore, Nathaniel can build at-most 3 birdhouses with remaining Lego blocks.

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