Question

Carlos wants to put 720 of his blocks in his toy box. A small set has 10 blocks and a large set has 100 blocks. How can you write three ways Carlos can put small and large sets of blocks in his toy box?

Answer 1

Carlos can put the blocks in this three ways:

(i) 32 large blocks and 4 small blocks.

(ii) 22 large blocks and 5 small blocks.

(iii) 12 large blocks and 6 small blocks.

The total quantity of blocks equals the number of blocks stored in the sets of blocks. Based on the information given, we derive the following algebraic expression:

$10\cdot m + 100\cdot n = 720$, $\forall\,m,n\in \mathbb{N_{O}}$ (1)

Where:

• $m$ - Quantity of small blocks.
• $n$ - Quantity of large blocks.

Now we can clear $n$ in terms of $m$:

$100\cdot n = 720 -10\cdot m$

$n = 7.2-0.1\cdot m$ (2)

From (2) we get the following combination of sets:

1) $m = 12, n= 6$

2) $m = 22, n = 5$

3) $m = 32, n = 4$

Carlos can put the blocks in this three ways:

(i) 32 large blocks and 4 small blocks.

(ii) 22 large blocks and 5 small blocks.

(iii) 12 large blocks and 6 small blocks.

We kindly invite to see this question on linear functions: brainly.com/question/3400735