A recipe for cookies calls for 2⁄3 of a cup of chocolate chips and 4 cups of flour. If you want to make a bigger batch, using 6 cups of flour, how many cups of chocolate chips will you need?
4 cups/6 cups = (2/3) / x
2/3 = 2/3 x
x = 1, you need 1 cup of chips
Gat
You are correct! If the original recipe calls for 2/3 cup of chocolate chips for 4 cups of flour, then for 6 cups of flour, you would need to use the same ratio of chocolate chips to flour, which is 2/3 cup of chocolate chips for every 4 cups of flour. To find out how much chocolate chips you need for 6 cups of flour, you can set up a proportion:
2/3 cup chocolate chips / 4 cups flour = x cups chocolate chips / 6 cups flour
Cross-multiplying gives:
4x = 2/3 * 6
4x = 4
x = 1
Therefore, you will need 1 cup of chocolate chips for a bigger batch using 6 cups of flour.
Gat
if you need 2/3 for 4 cups then for six cups 1 choc chip so therefore the answer is x= 1
To solve this problem, we need to find the ratio of chocolate chips to flour in the original recipe, and then use that ratio to calculate the amount of chocolate chips needed for a larger batch.
Let's start by determining the ratio of chocolate chips to flour in the original recipe. We have 2/3 cup of chocolate chips and 4 cups of flour.
The ratio is given by:
Chocolate chips to flour = 2/3 cup : 4 cups
To make a bigger batch using 6 cups of flour, we need to find out how many cups of chocolate chips will maintain the same ratio.
First, we can simplify the ratio by multiplying both sides by the same number to eliminate the fractions. In this case, we can multiply both sides by 6 to eliminate the fraction in the chocolate chips.
(2/3 cup : 4 cups) * 6 = (2/3 * 6) cup : 4 * 6 cups
= 4 cups : 24 cups
Now, we can see that the ratio of chocolate chips to flour is 4 cups : 24 cups.
To find out how many cups of chocolate chips are needed for 6 cups of flour, we can set up a proportion based on the ratio:
4 cups (chocolate chips) / 24 cups (flour) = X cups (chocolate chips) / 6 cups (flour)
To solve for X (the number of cups of chocolate chips needed), we can cross-multiply and solve the equation:
4 cups * 6 cups = 24 cups * X cups
24 cups = 6X cups
Dividing both sides of the equation by 6, we get:
X cups = 4 cups
Therefore, if you want to make a bigger batch using 6 cups of flour, you will need 4 cups of chocolate chips.