At a store, 5 apples can be bought for $15, 3 bananas can be bought for $5, and 8 oranges can be bought for $20. Mr. Gonzalez buys 25 apples, 30 bananas, and 48 oranges. What is the ratio of money spent on the apples to bananas to oranges
25(15/5) : 30(5/3) : 48(20/8)
= 45 : 50 : 120
= 9 : 10 : 24
can you explain please
To find the ratio of money spent on apples to bananas to oranges, we need to determine the total amount of money spent on each fruit individually.
First, let's calculate the total cost of buying 25 apples. We know that 5 apples can be bought for $15, so we can divide the total number of apples by 5 to get the number of sets of 5 apples. Dividing 25 by 5 gives us 5 sets.
Since each set of 5 apples costs $15, multiplying the number of sets (5) by the cost per set ($15) will give us the total cost of buying 25 apples: 5 x $15 = $75.
Next, let's calculate the total cost of buying 30 bananas. We know that 3 bananas can be bought for $5, so we can divide the total number of bananas by 3 to get the number of sets of 3 bananas. Dividing 30 by 3 gives us 10 sets.
Since each set of 3 bananas costs $5, multiplying the number of sets (10) by the cost per set ($5) will give us the total cost of buying 30 bananas: 10 x $5 = $50.
Finally, let's calculate the total cost of buying 48 oranges. We know that 8 oranges can be bought for $20, so we can divide the total number of oranges by 8 to get the number of sets of 8 oranges. Dividing 48 by 8 gives us 6 sets.
Since each set of 8 oranges costs $20, multiplying the number of sets (6) by the cost per set ($20) will give us the total cost of buying 48 oranges: 6 x $20 = $120.
Now that we have the total costs for each fruit, we can determine the ratio of money spent on apples to bananas to oranges.
The ratio of money spent on apples to bananas to oranges is $75 : $50 : $120. However, to simplify the ratio, we can divide all the amounts by the greatest common divisor (GCD) of the three amounts, which is $5.
Dividing $75 by $5 gives us $15, dividing $50 by $5 gives us $10, and dividing $120 by $5 gives us $24.
So, the simplified ratio of money spent on apples to bananas to oranges is $15 : $10 : $24.