We appreciate your visit to In the bakery frac 1 3 of the cakes have strawberry frosting and frac 3 7 of the cakes with strawberry frosting have vanilla filling. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
Step-by-step explanation:
Let the number of cakes in the bakery be x.
Given:
Fraction of cakes with strawberry frosting = 1/3 of x
Fraction of cakes with strawberry frosting that have vanilla frosting = 3/7
Fraction of cakes with strawberry frosting with vanilla frosting in the bakery = 1/3 × 3/7 × x
= 1/7 x
fraction of the cakes at the bakery have both strawberry frosting and vanilla filling = 1/7
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Answer:
The fraction of cakes with strawberries frosting and vanilla filling is 1/7
Step-by-step explanation:
Fraction of cakes with strawberries frosting = 1/3
But 3/7 of the 1/3 cakes have both strawberry and vanilla fillings.
Therefore the fraction of cakes with both strawberry and vanilla filling will be:
1/3 × 3/7 =3/21
Reducing 3/21 to its lowest term , we divide both numerator and denominator by 3, this leaves us with:
(3/3)/ (21/3) = 1/7
Fraction of cakes with both strawberry frosting and vanilla filling is 1/7
