Melvin Marshall bought 20 Mothers Day Muffins for Mama-Melanie, Auntie-Marlene, Grandma-Melissa, Cousin Carmela and Sister-Shamina. Some were carmel-glazed muffins and some were lemon. The Carmel muffins cost $3.00 each and the Lemons cost $2.50 ... A) If Melvin spent $54.00 altogether, how many muffins were Carmel and how many were Lemon?

Question

Mathematics

Ayden

18 August, 13:58

Melvin Marshall bought 20 Mothers Day Muffins for Mama-Melanie, Auntie-Marlene, Grandma-Melissa, Cousin Carmela and Sister-Shamina. Some were carmel-glazed muffins and some were lemon. The Carmel muffins cost $3.00 each and the Lemons cost $2.50 ... A) If Melvin spent $54.00 altogether, how many muffins were Carmel and how many were Lemon?

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Answers (1)

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Kyla Mcclure · Answer 1

The number of Carmel muffins is 8 and the number of lemon muffins is 12.

Step-by-step explanation:

Melvin Marshall bought a total of 20 Muffins. Some were camel-glazed muffins and some were lemon. The Carmel muffins cost $3 each while the lemons cost $2.5. The number of carmel muffins and lemon muffins can be calculated as follows

total number of muffin = 20

Let

a = number of carmel - glazed muffins

b = number of lemon muffins

a + b = 20 ... (i)

The total cost

3a + 2.50b = 54 ... (ii)

Combine the equations

a + b = 20 ... (i)

3a + 2.50b = 54 ... (ii)

a = 20 - b

insert the value of a in equation (ii)

3 (20 - b) + 2.50b = 54

60 - 3b + 2.50b = 54

60 - 54 = 0.5b

0.5b = 6

divide both sides by 0.5

b = 6/0.5

b = 12

Insert the value of b in equation (i)

a + b = 20 ... (i)

a + 12 = 20

a = 20 - 12

a = 8

The number of Carmel muffins is 8 and the number of lemon muffins is 12.