Answer:
It is rational as a rational number is a number written in a p/q form where p and q are integers and q is not equal to 0. Ex:45/7,5/1 and 5=5/1
This is simply testing if proportions are valid.
Guess-and-check, so the answer would be 40:48, since 5 x 8 = 40 and 6 x 8 = 48, where 8 is the set "constant" number
Answer:
15 cakes can be decorated.
Step-by-step explanation:
Given:
Total number of shapes Liu has = 140
Ratio of shape of stars and hearts = 4 : 3
According to the question:
Each cake have 5 stars and 4 hearts.
Let the number of starts be "4x" and number of hearts be "3x" from the ratio.
Now,
⇒ 
⇒ 
⇒ 
⇒ 
Number of stars = 
Number of hearts = 
Each cake have 5 stars and 4 hearts .
How many cakes can be decorated with 80 stars.
⇒ No.of cakes = Total number of stars / 5
⇒ 
⇒ 
How many cakes can be decorated with 60 hearts.
⇒ 
⇒ 
But both shapes are in combination so only 15 cakes can be decorated with the combination of 5 stars and 4 hearts.
Liu can decorate 15 cakes and only.