Edwin wants to make a quilt out of blue and yellow squares of fabric. He plans out the design,
so that the quilt is 8 pieces long and 8 pieces wide.
He sews 1 blue square followed by 3 yellow squares until the quilt is complete. How many yellow squares does he need to complete the design?

Respuesta :

Answer:

48 yellow squares

Step-by-step explanation:

8 x 8 = 64

Ratio of blue to yellow is 1:3 which we add together = 4

3/4 of 60 = 45

3/4 of 4 = 3

45+3 = 48

where 3 = 48

where yellow = 48

On tests they like to see you solely multiply but showed you the first way for you check answers. Both are just as quick.

8 x 8 = 64

Ratio = 1:3

1+3 = 4    remember 4 square is 16 and 16 x 4 = 64

We try the same way for 3 and 5

3+ 5 = 8  remember 8 square is 64

We try for another number 2 and 7

2 + 7 = 9 remember 9 square is 81 we se 27 and take away

81-27 = 54   as we took away 3 lots of 9's we can count really quickly 9-3 = 6

54 we need 10 more and see that 9 fits to 63 so we can find one quarter of 64

and prove 64-16 = 48 yellow

but closest fit to 9 is only 1 out when we get to 9 searching 8 even though we continually multiply, this rule in ratio is called square number pattern.

Will help you so much, and to show 64 square with ratio

- we  show yellow = 48

ratios = 1 : 3 =  16 : 8 √ 64  

as 8 √ 64  = 64