High School

Ed has 30 sweets. The ratio of red sweets to yellow sweets is 2:3. How many red sweets does Ed have?

Answer :

Final answer:

By using the given ratio of 2:3 and dividing the total number of sweets by the sum of the ratio units (5), we find that 1 ratio unit is equal to 6 sweets. Therefore, Ed has 12 red sweets.

Explanation:

Ed has 30 sweets, and the ratio of red sweets to yellow sweets is given as 2:3. To find out how many red sweets Ed has, we must first understand that the ratio 2:3 means for every 2 red sweets, there are 3 yellow sweets.

Now, let's find out how many units of the ratio there are in total. Since the ratio is 2 (for red) to 3 (for yellow), this adds up to 2 + 3 = 5 units in the ratio. The total number of sweets is 30, so we will divide this number by the 5 units of the ratio to find out the size of one unit.

30 sweets ÷ 5 units = 6 sweets per unit. Now, since the ratio for red sweets is 2 units, we calculate the number of red sweets as follows:

2 units × 6 sweets/unit = 12 red sweets.

Therefore, Ed has 12 red sweets.

Answer:

12

Step-by-step explanation:

total= 30

now,

let redsweets be 2x n yellow sweets be 3x

2x+3x=30

5x=30

x=6

now ,

red sweets= 2x=2×6=12 sweets.