Julia and Micaela are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and packages of oatmeal cookie dough. Julia sold 4 packages of sugar cookie dough, s𝑠, and 5 packages of oatmeal cookie dough, o𝑜, for a total of $180. Micaela sold 4 packages of sugar cookie dough and 4 packages of oatmeal cookie dough for a total of $160. Write equations to represent the scenario. Then, find the cost each of one package of sugar cookie dough and one package of oatmeal cookie dough. Julia: Micaela: Package of sugar cookie dough: $ Package of oatmeal cookie dough: $
Question
Julia and Micaela are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and packages of oatmeal cookie dough. Julia sold 4 packages of sugar cookie dough, s𝑠, and 5 packages of oatmeal cookie dough, o𝑜, for a total of 160. Write equations to represent the scenario. Then, find the cost each of one package of sugar cookie dough and one package of oatmeal cookie dough. Julia: Micaela: Package of sugar cookie dough:
Solution
Let's denote the cost of one package of sugar cookie dough as s and the cost of one package of oatmeal cookie dough as o.
From the problem, we can form two equations based on the sales of Julia and Micaela:
For Julia: 4s + 5o = 180 ...(Equation 1)
For Micaela: 4s + 4o = 160 ...(Equation 2)
To solve for s and o, we can subtract Equation 2 from Equation 1, which gives us:
4s + 5o - (4s + 4o) = 180 - 160 o = 20
Substitute o = 20 into Equation 2:
4s + 4*20 = 160 4s + 80 = 160 4s = 80 s = 20
So, the cost of one package of sugar cookie dough (s) is 20.
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