Question

You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate.
a. how many bowls could you glaze
b. how many plates can you glaze
c. how much glaze will be left over?

Answer 1

A. 6 = 48/8, now / (7/8) 6 bowls B. 6 = 96/16, now / (9/16) 10 plates C. After 6 bowls you would have 6/8 glaze left, After 10 plates you would have 6/16 glaze left

Answer 2

Part a) how many bowls could you glaze

we know that

You have $6$ pints of glaze. It takes $7/8$ of a pint to glaze a bowl

so

To find the number of bowls divide $6$ by $7/8$

$\frac{6}{(7/8)}} =\frac{48}{7} =6.86\ bowls$

therefore

the answer part a) is equal to

$6\ bowls$

Part b) how many plates can you glaze

You have $6$ pints of glaze. It takes $9/16$ of a pint to glaze a plate

so

To find the number of plates divide $6$ by $9/16$

$\frac{6}{(9/16)}} =\frac{96}{9} =10.67\ plates$

therefore

the answer part b) is equal to

$10\ plates$

Part c) how much glaze will be left over?

In the Part a)

$6-6 *\frac{7}{8} =6-\frac{42}{8} =\frac{48}{8} -\frac{42}{8}= \frac{3}{4}\ pint\ of \ glaze\ left$

In the Part b)

$6-10 *\frac{9}{16} =6-\frac{45}{8} =\frac{48}{8} -\frac{45}{8}= \frac{3}{8}\ pint\ of \ glaze\ left$