Grayson goes to the farmers' market every month to buy some of Ms. Robinson's homemade jam. The jam costs $5 per jar. Last weekend, Ms. Robinson gave a 20% discount for buying at least two flavors. So, Grayson bought b jars of blackberry jam and s jars of strawberry jam.

Pick all the expressions that represent how much Grayson spent on jam last weekend.

a. 0.20b+0.20s

b. 0.80(5b+5s)

c. 4b+4s

4(b+s)

3 answers

The correct expressions that represent how much Grayson spent on jam last weekend, after receiving a 20% discount for buying at least two flavors, are:

b. 0.80(5b + 5s)
c. 4b + 4s
4(b + s)

Let's analyze each expression:

a. 0.20b + 0.20s
This expression calculates 20% of the cost of b jars of blackberry jam and s jars of strawberry jam, but it shows the amount discounted from the original price, not the amount spent.

b. 0.80(5b + 5s)
This expression correctly applies the 20% discount by multiplying the total cost of the jam (5 dollars per jar times the number of jars b and s) by 80%, which is the remaining cost after applying a 20% discount.

c. 4b + 4s
Each jar after the discount costs $4 (since 20% of $5 is $1, so $5 - $1 = $4). This expression correctly calculates the final cost by multiplying the number of jars of each type by the discounted price per jar.

4(b + s)
This is another correct form, which is effectively the same as expression c. It's simply factoring out the 4 from both terms.

Therefore, expressions b, c, and "4(b + s)" correctly represent how much Grayson spent on jam last weekend.
pick one
Considering that all expressions b, c, and "4(b + s)" represent the correct amount but are phrased differently, the following single expression is a correct representation of how much Grayson spent on jam last weekend:

b. 0.80(5b + 5s)

This expression clearly shows the original price per jar ($5), the quantity of each type of jam (b for blackberry and s for strawberry), and the overall discount (20% off, hence the multiplier of 0.80).