A supermarket is carrying out a promotion in January. Andrew is collecting vouchers from the supermarket. Each red voucher is worth 7.5 points. Each blue voucher is worth 10 points. Each yellow is worth 13 points.
Andrew collects 150 vouchers in January.
3/5 of the vouchers are red.
22% of the vouchers are blue.
The rest are yellow.
To get a prize Andrew must collect 1350 points.
Will Andrew get a prize in January?
well, just add up the points.
3/5 * 150 * 7.5
+ 0.22 * 150 * 10
+ (1 - 3/5 - 0.22) * 150 * 13
To determine if Andrew will get a prize in January, we first need to calculate the total points he will earn from the vouchers.
Given that Andrew collects 150 vouchers in total, we can calculate the number of red vouchers using the information that 3/5 of the vouchers are red.
Number of red vouchers = (3/5) * 150 = 90
Next, we can calculate the number of blue vouchers using the information that 22% of the vouchers are blue.
Number of blue vouchers = (22/100) * 150 = 33
To determine the number of yellow vouchers, we can subtract the sum of red and blue vouchers from the total number of vouchers collected.
Number of yellow vouchers = 150 - (90 + 33) = 27
Now we can determine the total points earned by Andrew. We know that each red voucher is worth 7.5 points, each blue voucher is worth 10 points, and each yellow voucher is worth 13 points.
Total points = (number of red vouchers * 7.5) + (number of blue vouchers * 10) + (number of yellow vouchers * 13)
Total points = (90 * 7.5) + (33 * 10) + (27 * 13)
Total points = 675 + 330 + 351
Total points = 1356
From the calculations, we can see that Andrew will earn a total of 1356 points, which exceeds the required 1350 points for the prize. Therefore, Andrew will get a prize in January.