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mel-nik [20]
3 years ago
14

ralph has bought a variety of 35 donuts. one type costed $2.35 per donut while the other costed 1.75 per donut. he spent $69.05.

how many of each donut did ralph buy?
Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

Answer: He bought 22 of one type and 13 of the other type of donut.

Step-by-step explanation: Since the question stated that he bought two types of donuts, we would call the donuts type a and type b. If he bought a variety of 35 donuts, then we can express this as;

a + b = 35

Also, if one type cost $2.35 and another type cost $1.75 and the total cost was $69.05, this we can also express as,

2.35a + 1.75b = 69.05

We now have a pair of simultaneous equations as follows;

a + b = 35 ———(1)

2.35a + 1.75b =69.05 ———(2)

From equation (1), we make a the subject of the equation, a = 35 - b

Substitute for the value of a into equation (2)

2.35(35 - b) + 1.75b = 69.05

82.25 - 2.35b + 1.75b = 69.05

Collect like terms and we have

83.25 - 69.05 = 2.35b - 1.75b

13.2 = 0.6b

Divide both sides of the equation by 0.6

22 = b

With the value of b now known, substitute for the value of b into equation (1)

a + b = 35

a + 22 = 35

Subtract 22 from both sides of the equation

a = 13.

Therefore, Ralph bought 22 of one type, and 13 of the other type of donut

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Alexxandr [17]

1.

<h3>The y-intercept</h3>

The y-intercept is $35.

The y-intercept of a straight line graph is the point at which the graph intercepts the y-axis.

So, from the graph, the y-intercept is $35.

2.

<h3>The meaning of y-coordinate</h3>

The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

Since the y-intercept represents the point at which the graph intercepts the y-axis and then the x- value is zero, the y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

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<h3>The slope</h3>

The slope is 2.5

Since we are given two points on the line, the slope m of a line given two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).

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4.

<h3>Meaning of the slope</h3>

The slope represents the rate at which the lemonade is sold

Since the y-axis represent the amount of money in the cash register and the x-axis represents the number of cups of lemonade sold, the slope represents the rate at which the lemonade is sold.

The slope represents the rate at which the lemonade is sold

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