Cupcake Packing and Sprinkles Expression

Very Hard Algebra Expressions And Equations

A baker has a total of 120 cupcakes. He packs them into boxes, each containing x cupcakes. In each box, he will place an additional y decorative sprinkles. After packing, he notices that the total number of decorative sprinkles he used is equal to the number of boxes multiplied by 10. If the total number of boxes packed is 4 less than the number of cupcakes in each box, which expression represents the total number of decorative sprinkles used?

Given the relationships:

Total cupcakes: $120$
Box count: $b = \f\frac{120}{x}$
Sprinkles per box: $y$
Total sprinkles: $S = b \times 10$
Relation: $b = x - 4$

$1200 - 40$

$10 \left(\frac{120}{x} \right)$

$10 \left(\frac{120}{x - 4} \right)$

$10 \left(\frac{120 - 4}{x} \right)$

$10 \left(\frac{120 + 4}{x - 4} \right)$

Hint

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