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)
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).
To find out how much Grayson spent on jam last weekend, we need to calculate the cost of each type of jam (blackberry and strawberry) separately and then add them together. Let's break it down:
The cost of blackberry jam:
Grayson bought b jars of blackberry jam, and each jar costs $5. Therefore, the total cost of blackberry jam is 5b.
The cost of strawberry jam:
Grayson bought s jars of strawberry jam, and each jar costs $5. Therefore, the total cost of strawberry jam is 5s.
To get the total amount Grayson spent on jam, we need to add the cost of blackberry jam and the cost of strawberry jam:
Total cost = Cost of blackberry jam + Cost of strawberry jam
Total cost = 5b + 5s
Now let's take a look at the given expressions and see which ones represent this calculation:
a. 0.20b + 0.20s: This expression represents 20% of the number of blackberry jars plus 20% of the number of strawberry jars. It does not represent the total cost of the jam purchase, so it is not the correct expression.
b. 0.80(5b + 5s): This expression represents 80% of the sum of the cost of blackberry jam and the cost of strawberry jam. However, we want the total cost, so this is not the correct expression.
c. 4b + 4s: This expression represents 4 times the number of blackberry jars plus 4 times the number of strawberry jars. It is not the correct expression because we need to consider the actual cost of the jars, which is $5 each.
d. 4(b + s): This expression represents 4 times the sum of the number of blackberry jars and the number of strawberry jars. It does not represent the total cost of the jam purchase, so it is not the correct expression.
Therefore, the correct expression representing how much Grayson spent on jam last weekend is:
Total cost = 5b + 5s
So the answer is:
5b + 5s