A bakery bakes vanilla cakes and chocolate cakes in a ratio of 3:4. If the bakery bakes a … — GMAT

A bakery bakes vanilla cakes and chocolate cakes in a ratio of $3:4$ . If the bakery bakes a total of $35$ cakes in one morning, how many chocolate cakes were baked?

A
$15$
$20$ Answer
C
$21$
D
$28$
E
$45$

Answer

20 chocolate cakes were baked.

The ratio of vanilla to chocolate cakes is

3:4

, meaning there are

3 + 4 = 7

total equal parts. The fraction of total cakes that are chocolate is

\frac{4}{7}

. Multiplying this fraction by the total of

35

cakes yields

\frac{4}{7} \times 35 = 20

chocolate cakes.

Step-by-Step Solution

Determine the total number of ratio parts

Sum of ratio terms:

3 + 4 = 7

total parts.

The given ratio of vanilla to chocolate cakes is

3:4

, which means out of every

7

cakes,

3

are vanilla and

4

are chocolate.

Calculate the value of one ratio part

Value per part:

\frac{35}{7} = 5

cakes per part.

Dividing the total count of

35

cakes by the total number of ratio parts gives the multiplier for each part.

Compute the total number of chocolate cakes

Chocolate cakes:

4 \times 5 = 20

Multiply the chocolate ratio term (

4

) by the value of one part (

5

Key Concept

Part-to-Whole Ratio Scaling

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

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