Question

Help me please- Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Answer 1

• The cost of a small ice sculpture is $79 and the cost of a large ice sculpture is $134.

Explanation:

Let's say L for 'Large ice sculpture' and S for 'Small ice sculpture'.

We know that:

• 3S + 4L = 773
• 2S + 4L = 694

Work:

• 3S + 4L = 773

2S + 4L = 694

• => 3S - 2S = 773 - 694
• => S = 79

This means that one small ice sculpture will cost $79. Let's substitute the value of S into the first equation to find out the value of L.

• 3S + 4L = 773
• => 3(79) + 4L = 773
• => 237 + 4L = 773
• => 4L = 773 - 237
• => 4L = 536
• => L = 536/4
• => L = 134

Hence, the cost of a small ice sculpture is $79 and the cost of a large ice sculpture is $134.

Hoped this helped.

`BrainiacUser1357`

Answer 2

Each small ice sculpture costs $79 and each large one costs $134

Explanation:

3 small + 4 large = $773

2 small + 4 large = $694

3 - 2 = 1

$773 - $694 = $79

So one small = $79

$79 x 3 = $237

$773 - $237 = $536

$536 / 4 = $134

So one large = $134