Question

at the mall the cost of a pretzel is $2 less than the cost of some ice cream. five ice creams cost the same as nine pretzels. find the cost of each

Answer 1

Cost of one pretzel is $2.5 and cost of one ice cream is $4.5

Step-by-step explanation:

Let,

Cost of pretzel = x

Cost of ice cream = y

According to given statement;

the cost of a pretzel is $2 less than the cost of some ice cream.

x = y - 2    Eqn 1

five ice creams cost the same as nine pretzels.

9x = 5y    Eqn 2

Putting value of x from Eqn 1 in Eqn 2

$9(y-2)=5y\\9y-18=5y\\9y-5y=18\\4y=18$

Dividing both sides by 4

$\frac{4y}{4}=\frac{18}{4}\\y=4.5$

Putting y=4.5 in Eqn 1

$x=4.5-2\\x=2.5$

Cost of one pretzel is $2.5 and cost of one ice cream is $4.5

Keywords: linear equation, substitution method

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