2) Malik organises an event at the hotel. There will be 80 guests at the event. A

A baker buys 19 apples of two different varieties to make pies. The total cost of the apples is $5.10. Granny Smith apples cost

Natasha2012 [34]

The baker bought 7 gala apples, and 12 granny smiths apples

Solution:

Let "x" be the number of gala apples bought

Let "y" be the number of granny smith apples bought

Cost of 1 gala apple = $ 0.30

Cost of 1 granny smith apple = $ 0.25

A baker buys 19 apples of two different varieties to make pies

Therefore,

number of gala apples bought + number of granny smith apples bought = 19

x + y = 19 --------- eqn 1

The total cost of the apples is $5.10

Therefore, we can frame a equation as:

number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10

$x \times 0.30 + y \times 0.25 = 5.10$

0.3x + 0.25y = 5.1 -------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 19 - y ---------- eqn 3

Substitute eqn 3 in eqn 2

0.3(19 - y) + 0.25y = 5.1

5.7 - 0.3y + 0.25y = 5.1

5.7 - 0.05y = 5.1

0.05y = 5.7 - 5.1

0.05y = 0.6

y = 12

Substitute y = 12 in eqn 3

x = 19 - 12

x = 7

Thus the baker bought 7 gala apples, and 12 granny smiths apples

6 0

3 years ago

A copy machine repairman makes $12.50 per hour plus $4 for every service call he performs. Last week he worked 34 hours and made

Anon25 [30]

z=total pay
x=hours
y=service calls

7 0

3 years ago

the depth D, in inches, od wsnow in my yard t hours after it started snowing this morning is given by D=1.5t + 4. if the depth o

Blababa [14]

Answer:

8.5 inches

Step-by-step explanation:

First let's find the time t when the depth of the snow is 7 inches.

To do this, we just need to use the value of D = 7 then find the value of t:

$7 = 1.5t + 4$

$1.5t = 3$

$t = 2\ hours$

We want to find the depth of snow one hour from now, so we just need to use the value of t = 3 to calculate D:

$D = 1.5*3 + 4$

$D = 4.5 + 4 = 8.5\ inches$

The depth of snow one hour from now will be 8.5 inches.

7 0

3 years ago

What is the estimate of forgive 6in by 4in

NNADVOKAT [17]

Find area of the semi circle.

The diameter is, half of that would be the radius, which is 3.

$\frac{\pi \cdot 3^2}{2}$ = 14.1

Find the area of the rectangle.

6 * 4 =24

Add the two areas together.

24 + 14.1 = 38.1

$38.1in^2$

6 0

3 years ago

what is the equation of the line that passes through the point (3,5) and is it parallel to the line y= - 2x+3

Alekssandra [29.7K]

I believe the answer is (-1,-3)

3 0

3 years ago