4x+2y = 12
x+ y = 3
Times the bottom one by -2
4x+2y=12
2x-2y=-6
Cancel out the 2y and -2y and add 4x and 2x, 12 and -6 together
6x=6
divide by 6 for x
x=1
your answer is 1
To solve this question, simply find the percent of loaves of bread to total items, by taking the first loaves of bread and dividing it by the total bakery items. In this case would be, 15 loaves/25 • 100% = 60 %. Do the same calculation for the second loaves of bread. 25 loaves/37 • 100% = 67.567 %.
Now take the difference between the 2 percentages to find the percent increase of loaves of bread, which would be 7.567 %, about 7.6%. Or as a whole number 8%.
The percent increase of the loaves of bread has been 8%.
Answer:
Step-by-step explanation:
From AAA, both triangles in this figure are similar. Therefore, we can set up the following proportion:
or 
.
Cross-multiplying, we get:
.
Answer:
4.12 kg
Step-by-step explanation:
Regular cakes:
1 dozen normal sponge cakes: 264 g plain flour
Vegetarian cakes:
1 dozen cakes: 264 g plain flour
4 eggs are replaced by 4 * 30 g of flour = 120 g flour
total flour for 1 dozen vegetarian cakes = 264 g + 120 g = 384 g
Proportion for regular cakes:
12 cakes to 264 g flour = 100 cakes to x grams flour
12/264 = 100/x
12x = 26400
x = 2200
2200 g flour for 100 regular cakes
Proportion for vegetarian cakes:
12 cakes to 384 g flour = 60 cakes to y grams flour
12/384 = 60/y
12y = 384 * 60
12y = 23040
y = 1920
1920 g flour for 60 vegetarian cakes
Total flour needed:
2200 g + 1920 g = 4120 g
4120 g * 1 kg/(1000 g) = 4.12 kg
Answer: 4.12 kg
