How many cakes do I have?

Algebra Level 2

There are 48 48 red velvet cakes and 32 32 chocolate cakes in a shop. I take 12 16 \dfrac{12}{16} of the red velvet cakes and half of the chocolate cakes. How many cakes do I have in all?


The answer is 52.

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4 solutions

Marvin Kalngan
Jul 1, 2020

12 16 × 48 + 1 2 × 32 = 12 16 × 48 1 + 1 2 × 32 1 = 12 × 48 16 × 1 + 1 × 32 2 × 1 = 576 16 + 32 2 = 36 + 16 = 52 \dfrac{12}{16} \times 48 + \dfrac{1}{2} \times 32=\dfrac{12}{16} \times \dfrac{48}{1}+\dfrac{1}{2} \times \dfrac{32}{1}=\dfrac{12\times 48}{16 \times 1}+\dfrac{1\times 32}{2 \times 1}=\dfrac{576}{16}+\dfrac{32}{2}=36+16=\large{\boxed{52}}

Mahdi Raza
Jun 30, 2020

( 12 16 × 48 ) + ( 1 2 × 32 ) = 36 + 16 = 52 \bigg(\dfrac{12}{16}\times 48\bigg) + \bigg(\dfrac{1}{2} \times 32\bigg) \quad = \quad 36 + 16 \quad = \quad \boxed{52}

Brilliant = Mahdi Raza!

Yajat Shamji - 11 months, 2 weeks ago

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Though this question was easy,

Thank You! \Huge{\blue{\text{Thank You!}}}

Mahdi Raza - 11 months, 2 weeks ago

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No Problem!

Yajat Shamji - 11 months, 2 weeks ago

If we simplify 12 16 \frac{12}{16} We get 3 4 \frac{3}{4} and doing the sum

48 x 3 4 \frac{3}{4} we get 36 36

-48 x 3 divide by 4 = 36

And half of thirty two(32)

32 x 1 2 \frac{1}{2}

-32 x 1 divided by 2 = 16

is 16 and 36 + 16

(36 + 10 + 6 or 30 + 6 + 16 or 30 + 6 + 10 + 16 equals 52 52

  • so the answer is 52
Yajat Shamji
Jul 1, 2020

48 16 \frac{48}{16} = 3 × 12 = 36 = 3 \times 12 = 36

32 2 \frac{32}{2} = 16 = 16

36 + 16 = 52 36 + 16 = 52

Answer 52 \rightarrow \fbox{52}

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