Question

Mary McDonald makes mugs in Miami. She makes two sizes of mugs: a small mug that she sells for $2.50 and a large mug that she sells for $5.75. Yesterday Mary made $85. Before she opened her shop in the morning, she had 215 mugs in inventory. At the end of the day, she had 194. How many of each size did she sell?

Answer 1

Mary McDonald sold 11 small mugs and 10 large mugs.

Step-by-step explanation:

Given,

Total cost of sold cups = $85

Cost of one small cup = $2.50

Cost of one large cup = $5.75

Cups at the start of day = 215

Cups at the end of day = 194

Cups sold = Cups at the start of day - Cups at end of day

Cups sold = 215 - 194 = 21

Let,

x represents the number of small cups.

y represents the number of large cups.

According to given statement;

x+y=21    Eqn 1

2.50x+5.75y=85    Eqn 2

Multiplying Eqn 1 by 2.50

$2.50(x+y=21)\\2.50x+2.50y=52.50\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(2.50x+5.75y)-(2.50x+2.50y)=85-52.50\\2.50x+5.75y-2.50x-2.50y=32.50\\3.25y=32.50$

Dividing both sides by 3.25

$\frac{3.25y}{3.25}=\frac{32.50}{3.25}\\y=10$

Putting in Eqn 1

$x+10=21\\x=21-10\\x=11$

Mary McDonald sold 11 small mugs and 10 large mugs.

Keywords: linear equation, subtraction

Learn more about linear equations at:

• brainly.com/question/12905000
• brainly.com/question/12918501

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