Question

Liu wants to decorate some cakes with shapes.

Answer 1

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,

⇒ $4x+3x=140$

⇒ $7x=140$

⇒ $x=\frac{140}{7}$

⇒ $x=20$

Number of stars = $4x =4(20) =80$

Number of hearts = $3x=3(20)=60$

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

⇒ $C=\frac{80}{5}$

⇒ $C=16$

How many cakes can be decorated with 60 hearts.

⇒ $C=\frac{60}{4}$

⇒ $C=15$

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.