Question

12.) Chase went to the candy store and bought Sour Patch Kids & Rolos. He bought 5 pounds of candy all together. Sour patch kids cost $2.25/pound and Rolos cost $1.75/pound. He spent $9.75 total. Let x = # of pounds of Sour Patch Kids. Let y = # of pounds of Rolos. Create 2 equations and use the substitution method to solve. a) How many pounds of Sour Patch Kids? b) How many pounds of Rolos?

Answer 1

a) 2 pounds of Sour Patch Kids

b) 3 pounds of Rolos

Step-by-step explanation:

Given,

Pounds of candy bought = 5 pounds

Cost of sour patch per pound = $2.25

Cost of Rolos per pound = $1.75

Total amount spent = $9.75

Let,

x = Number of pounds of sour patch

y = Number of pounds of rolos

x+y=5

x = 5-y         Eqn 1

2.25x+1.75y=9.75    Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$2.25(5-y)+1.75y=9.75\\11.25-2.25y+1.75y=9.75\\11.25-0.5y=9.75\\11.25-9.75=0.5y\\1.50=0.5y\\0.5y=1.50$

Dividing both sides by 0.5

$\frac{0.5y}{0.5}=\frac{1.50}{0.5}\\y=3$

Putting y = 3 in Eqn 1

$x=5-3\\x=2$

a) 2 pounds of Sour Patch Kids

b) 3 pounds of Rolos

Keywords: linear equations, substitution method

Learn more about substitution method at:

• brainly.com/question/7265276
• brainly.com/question/7207785

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