104k views
1 vote
When placed end to end, 5 yellow lego bricks are 2 cm longer than 2 green lego bricks. While 3 green lego bricks are 2 cm longer than 7 yellow lego bricks. How long are 5 green lego bricks?

2 Answers

3 votes

Final answer:

To find the length of 5 green lego bricks, we need to solve the given equations.

Step-by-step explanation:

Let's represent the length of a yellow lego brick as y and the length of a green lego brick as g.



According to the given information, when placed end to end, 5 yellow lego bricks are 2 cm longer than 2 green lego bricks. This can be written as:



5y = 2g + 2



Similarly, 3 green lego bricks are 2 cm longer than 7 yellow lego bricks:



3g = 7y + 2



To find the length of 5 green lego bricks, we need to solve these equations.

User Rin Malavi
by
3.3k points
6 votes

Answer:

5 green lego bricks are equal to 12 yellow lego bricks

Step-by-step explanation:

Let the yellow and green lego bricks be denoted by y and g respectively.

According to the given conditions

5y+ 2= 2g------ equation 1

3g+2= 7y----- equation 2

Rearranging the equations and adding

5y+ 2= 2g------ equation 3

7y-2= 3g----- equation 4

12y= 5g

5 green lego bricks are equal to 12 yellow lego bricks

User Mingyu Jeon
by
3.5k points