Answer:
12 bouquets
Step-by-step explanation:
Let there be x number of roses and x number of tulips initially at the store. Each bouquet was made with 3 roses and 4 tulips. Assume that y bouquets were made in total.
If each bouquet was made with 3 roses and 4 tulips, then y bouquets will be made with 3y roses and 4y tulips.
After the bouquets were all made, there were 30 roses and 18 tulips left in the store. This means, if we subtract number of roses that were used in bouquets from total number of roses, the result must be 30. Likewise, for tulips the result would be 18. This can be represented as:
x - 3y = 30 Equation 1
x - 4y = 18 Equation 2
Subtracting Equation 2 from Equation 1, we get:
x - 3y - (x - 4y) = 30 - 18
x - 3y - x + 4y = 12
y = 12
Since y represents the number of bouquets made, we can conclude that 12 bouquets were made in the store.
Answer:
1.72973 oz/serving. Perhaps round to 1.73 oz, although there is only 1 sig fig in "4-pound bag." But the problem states "exactly."
Step-by-step explanation:
We want oz/serving, so let's convert the pounds of rice to total ounces of rice:
We are told that 16 oz = 1 pound. Make that a conversion factor: (16 oz/1 pound)
(4 pounds)*((16 oz/1 pound) = 64 ounces
We are told that 4 pounds (64 ounces) makes 37 servings. So:
(64 ounces)/(37 servings) = 1.72973 oz/serving
The distributive property is being displayed here. The distributive property shows if you have a problem like 3(a+c), it can be converted into 3a+3c. It shows itself in this because it is distributing -2 to both a and b.
Answer: The distributive property is being shown here.
Hope I helped!
