Lorraine was preparing a surprise birthday party for her sister Dolores. She purchased 13 bottles of strawberry juice and 30 cookies. A bottle of strawberry juice cost 4 times as much as a cookie. Lorraine spent $41 in total. How much did a bottle of strawberry juice cost?$
Question
Lorraine was preparing a surprise birthday party for her sister Dolores. She purchased 13 bottles of strawberry juice and 30 cookies. A bottle of strawberry juice cost 4 times as much as a cookie. Lorraine spent
Solution
Let's denote the cost of a cookie as C and the cost of a bottle of strawberry juice as J.
From the problem, we know that:
-
Lorraine bought 13 bottles of strawberry juice and 30 cookies, which cost her $41 in total. This can be written as: 13J + 30C = 41.
-
A bottle of strawberry juice cost 4 times as much as a cookie. This can be written as: J = 4C.
Now we can substitute equation 2) into equation 1):
13 * 4C + 30C = 41 52C + 30C = 41 82C = 41
Now, divide both sides of the equation by 82 to solve for C:
C = 41 / 82 = $0.5
Now that we know the cost of a cookie, we can find the cost of a bottle of strawberry juice by substituting C into equation 2):
J = 4C = 4 * 0.5 = $2
So, a bottle of strawberry juice cost $2.
Similar Questions
Mrs. Bala made a big container of berry juice. She gave away 1150 ml of it to her neighbour, and her family drank 60% of the remaining juice. She then had 24% of juice left. How much berry juice did she make at first?
Rebecca bought 6 cartons of ice cream and 4 cartons of yoghurt. Each carton of ice cream cost $7 and each carton of yoghurt cost $1. How much more did Rebecca spend on ice cream than on yoghurt?
Joy bought some granola from the bulk bins at the grocery store. Emilio bought one-third as much granola as Joy, but he also spent $4.41 on milk and $6.17 on fresh berries. Joy and Emilio ended up spending the same amount of money.How much did Joy spend on granola?$Submit
Mrs. Molina bought ice cream treats for 18 children. Each child picked either a sundae or a milkshake. The sundaes cost $1 each and the milkshakes cost $4 each. If Mrs. Molina spent a total of $57, how many of each type of treat did she buy?
Lisa bought lime and strawberry tarts for a party.25% of the tarts were lime.There were 75 more strawberry tarts than lime tarts.How many tarts did Lisa buy altogether?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.