Kamal has to fill the same measuring cup 8 times to get 2 liters of water. How many milliliters of water does the cup hold?

Question

Emery Allen · Accepted Answer

250 ml

2 litres = 2000 ml #2000/8 = 250#

Levi Adams · Answer

Further explanation (expansion) on the solution by SS. Showing where his shortcut method comes from.

Although it does not look as though people are using ratio when solving this type of question they are. Initial condition expressed as a ratio in fraction form gives: #("2 Litres")/("8 cups")" "# this is stating that for every 8 cups we have 2 litres The change required is that we have millilitres and 1 cup ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Dealing with the millilitres first")# Known that 1 Litre = 1000 millilitres So 2 Litres = 2000 millilitres The actual volume has not changed, just the units of measurement. So we now have: #("2000 millilitres")/("8 cups")# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Dealing with the 8 cups")# As this is a ratio we need to maintain proportionality. So if we reduce the count of cups we need to reduce the count of millilitres by an appropriate a mount. To change 8 cups into 1 cup divide by 8. For multiply or divide in ratios what you do the bottom you do to the top. Divide top and bottom by 8 #("2000 millilitres")/("8 cups") ->(color(red)("2000 millilitres"-:8))/("8 cups"-:8) # #" "color(red)(uarr)# #color(red)("The bit in red is where the shortcut comes from")# #=(250" millilitres")/(1" cup")# So 1 cup holds 250 millilitres

Cameron Arnold · Answer

undefined To find out how many milliliters of water the measuring cup holds, we need to divide the total volume of water (2 liters) by the number of times Kamal fills the cup (8 times).

1 liter is equal to 1000 milliliters.

So, 2 liters is equal to $2 \times 1000 = 2000$ milliliters.

Dividing 2000 milliliters by 8 times, we get:

$$ \frac{2000}{8} = 250 $$

Therefore, the measuring cup holds 250 milliliters of water.