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In a cake shop, there are cakes of three different flavors, chocolate, vanilla, and strawberry. Total cakes in the shop are 45 out of which 25 have exactly one flavor and 8 have both chocolates and vanilla, then how many strawberry cakes have exactly one more flavor?

In a cake shop, there are cakes of three different flavors, chocolate, vanilla, and strawberry. Total cakes in the shop are 45 out of which 25 have exactly one flavor and 8 have both chocolates and vanilla, then how many strawberry cakes have exactly one more flavor? Correct Answer 12

GIVEN:

Total cakes in the shop are 45 out of which 25 have exactly one flavor and 8 have both chocolates and vanilla.

CONCEPT:

Venn diagram

CALCULATION:

Total cakes with exactly one flavor = a + b + c = 25

⇒ Total cakes with more than one flavor = 45 – 25 = 20

Total cakes that have both chocolates and vanilla = 8

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∴ Total strawberry cakes have exactly one more flavor = 20 – 8

= 12

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