caitlin574
contestada

Sarah and Henry share some sweets in the ratio 5:6.
Sarah eats 16 of her sweets and the ratio of sweets left becomes 1:2.
How many sweets did Henry have?​

Respuesta :

TaeKwonDoIsDead

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:

[tex]\frac{5x-16}{6x}=\frac{1}{2}[/tex]

Let us solve this equation for "x":

[tex]\frac{5x-16}{6x}=\frac{1}{2}\\2(5x-16)=6x\\10x-32=6x\\4x=32\\x=8[/tex]

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

6*8 = 48 sweets

Otras preguntas