Question

Henrey bakes 84 bread rolls and fruit muffins. After giving away 18 rolls there are 5/6 as many rolls as muffins left. How many rolls does Henrey bake?

Answer 1

48.

Explanation:

Given, Henrey bakes 84 bread rolls and fruit muffins.

Let, Henrey baked x bread rolls, then he baked y fruit muffins. according to the second condition,

(x - 18) = 5/6 y

Now, solving these two equations,

y = 84-x

Or, x-18 = 5/6 (84-x)

Or, 6x- 108= 420-5x

Or, 11x= 528

Or, x= 48

Now, y= 84- 48= 36

Thus, Henry baked 48 rolls and 36 fruit muffins.