Question

At the Soup to Nuts cafeteria, Larry orders two pieces of toast and a bagel, which comes out to $\$3.15$. Curly orders a bagel and a muffin, which comes out to $\$3.30$. Moe orders a piece of toast, two bagels, and three muffins, which comes out to $\$9.15$. How many cents does one bagel cost?

Answer 1

One bagel costs 155 cents

Step-by-step explanation:

Consider t, b and m represents the cost of each toast, each bagel and each muffin, ( dollars ),

According to the question,

2t + b = 3.15                   ......(1)

b + m = 3.30                    .......(2)

t + 2b + 3m = 9.15        ......(3),

Equation (3) - 3 × equation (2),

t + 2b - 3b = 9.15 - 9.9

t - b = -0.75                   ..........(4),

Equation (1) - 2 × equation (4),

b + 2b = 3.15 + 1.5

3b = 4.65

$\implies b =\frac{4.65}{3}=1.55$

Hence, the cost of each bagel would be $ 1.55 or 155 cents  ( ∵ 1 dollar = 100 cents )

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