Question

There are five more blue blocks than green blocks. Three times the number of green blocks, increased by double the number of blue, equals 95. How many of each colour are there?

Answer 1

Answer:

22 blue blocks

17 green blocks

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

There are five more blue blocks than green blocks.

So, the number of blue blocks (b) is equal to the number of green blocks (g) plus 5.

• b = g+5

Three times the number of green blocks (3g), increased by double the (+2b) number of blue, equals 95.  

• 3g+2b =95

The system is  

b = g+5

3g+2b =95

Replacing b=g+5 in the second equation:

3g + 2 (g+5)=95

Solving for g:

3g +2g+10 =95

5g = 95-10

5g=85

g= 85/5

g= 17

Replacing g=17 in the first equation:

b = g+5

b = 17 +5

b=22