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2 years ago

Sarah and Henry share some sweets in the ratio 5:6.

Mathematics

1 answer:

Setler79 [48]2 years ago

6 0

Answer:

48 sweets

Step-by-step explanation:

Sarah to Henry ratio is 5 is to 6, we can say:

Sarah has 5x sweets

Henry has 6x sweets

After Sarah eats "16", the ratio is 1:2, so we can write:

$\frac{5x-16}{6x}=\frac{1}{2}$

Let us solve this equation for "x":

$\frac{5x-16}{6x}=\frac{1}{2}\\2(5x-16)=6x\\10x-32=6x\\4x=32\\x=8$

Henry had "6x" sweets, so Henry had:

6*8 = <u>48 sweets</u>

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