A baker mixes 2 1/4 pounds of sugar for every 3/8 pound of butter to begin making frosting. The baker uses 357 pounds of butter and sugar to start the frosting. How much sugar does the baker use?
this is great! thank you
2-1/4+3/8=2-5/8
357÷2-5/8=136
2-1/4 of Sugar times 136
2-1/4 × 136= 306 pounds of sugar
3/8 of butter times 136
3/8 × 136= 51 lbs of Butter
To find out how much sugar the baker uses, we need to calculate the ratio of sugar to butter and then multiply it by the amount of butter used.
The given ratio is 2 1/4 pounds of sugar for every 3/8 pound of butter. We can convert the mixed number to an improper fraction for easier calculation.
2 1/4 can be written as (2 * 4 + 1)/4 = 9/4
So, the ratio is 9/4 pounds of sugar for every 3/8 pound of butter.
Next, we need to calculate the amount of sugar for 357 pounds of butter. We will set up a proportion using the ratio:
(9/4) / (3/8) = s / 357
To solve for 's', we multiply both sides of the equation by 357:
s = (9/4) / (3/8) * 357
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
s = (9/4) * (8/3) * 357
Now, we can simplify the fractions:
s = (9 * 8 * 357) / (4 * 3)
s = (72 * 357) / 12
s = 25704 / 12
s = 2142
Therefore, the baker uses 2142 pounds of sugar to make the frosting.
Thanks!
sugar + butter = 21/8 lb
sugar = 18/8 lb
sugar is 18/21 of the mixture
18/21 * 357 = ?