Question

Chelsey put ¾ lbs of cherries and ⅖ lbs of sugar in a cherry tart that she was making. At this rate, how much cherries she must put if she uses 3 lbs of sugar to make cherry tart?

Answer 1

Chelsey needs to put 5 5/8 lbs of cherries if she uses 3 lbs of sugar to make the cherry tart.

Step-by-step explanation:

To find out how much cherries Chelsey must put if she uses 3 lbs of sugar to make the cherry tart, we need to determine the ratio between the amount of sugar and the amount of cherries used in the original tart.

Chelsey used 3/4 lbs of cherries and 2/5 lbs of sugar. To find the ratio between the cherries and sugar, we can divide the amount of cherries by the amount of sugar: 3/4 ÷ 2/5 = 15/8.

Now we can set up a proportion to find out how much cherries Chelsey needs when using 3 lbs of sugar: 15/8 = x/3. To solve for x (the amount of cherries), we can cross multiply and then divide: 15 * 3 = 8 * x ➝ 45 = 8x. Dividing both sides by 8, we get x = 45/8 = 5 5/8 lbs.