Marianne buys 16 bags of potting soil that comes in 5/8 pound bags a.how many pounds of potting soil does she buy?

b. if her father calls and says he needs 13 pounds of potting soil, how many additional bags should she buy?

The answer for the first one is 10/1.

a. To find the number of pounds of potting soil Marianne buys, we need to multiply the number of bags by the weight of each bag.

Marianne buys 16 bags of potting soil.
Each bag weighs 5/8 pound.

To find the total weight, we multiply the number of bags (16) by the weight of each bag (5/8):

Total weight = 16 bags * (5/8 pound per bag)

To multiply fractions, we multiply the numerators (top numbers) and denominators (bottom numbers) separately:

Total weight = (16 * 5) / (8)

Multiplying the numerators gives us 80, and multiplying the denominators gives us 8.

Total weight = 80 / 8

Simplifying the fraction, we divide the numerator by the denominator:

Total weight = 10 pounds

Therefore, Marianne buys 10 pounds of potting soil.

b. To find the number of additional bags she should buy, we need to subtract the weight her father needs from the total weight of potting soil she already bought.

Marianne has already bought 10 pounds of potting soil.

Her father needs 13 pounds of potting soil.

To find the additional weight she needs, we subtract the weight her father needs from the total weight she already bought:

Additional weight = 13 pounds - 10 pounds

Subtracting, we get:

Additional weight = 3 pounds

Since each bag weighs 5/8 pound, we need to divide the additional weight by the weight of each bag to find the number of additional bags:

Number of additional bags = Additional weight / (5/8 pound per bag)

Dividing by a fraction is the same as multiplying by its reciprocal:

Number of additional bags = Additional weight * (8/5)

Putting the values into the equation:

Number of additional bags = 3 pounds * (8/5)

Multiplying, we get:

Number of additional bags = 24/5

Considering 24 divided by 5 equals 4 remainder 4, we can write this as:

Number of additional bags = 4 + (4/5)

Therefore, Marianne should buy 4 and 4/5 additional bags.

Note: Since we can't buy fractions of bags in reality, Marianne should round up to the nearest whole number. So, she should buy 5 additional bags.

26

16 * (5/8) = ?

13 / (5/8) = ?