One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?
1 answer:
If we take the numbers to be hmm say "a" and "b"
let's say "a" is the bigger number, how big?
well "<span>One number is 10 more than another"
so... whatever "b" is, "a" is THAT plus 10, or
a = b+ 10
now, how much is twice the smaller? the smaller is b
twice b, is 2 * b or 2b
what about three times the larger? the larger is a
thrice a is 3 * a or 3a
we're told that 2b + 3a = 55
thus</span>
solve for "b", to see what the smaller one is
what about "a"? well, a = b + 10
let's say "a" is the bigger number, how big?
well "<span>One number is 10 more than another"
so... whatever "b" is, "a" is THAT plus 10, or
a = b+ 10
now, how much is twice the smaller? the smaller is b
twice b, is 2 * b or 2b
what about three times the larger? the larger is a
thrice a is 3 * a or 3a
we're told that 2b + 3a = 55
thus</span>
solve for "b", to see what the smaller one is
what about "a"? well, a = b + 10
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Answer:
Step-by-step explanation:
Let the number of bags of potatoes be x.
We have been given that a grocery store receives a 180-pound crate containing six 10-pound bags of potatoes and an unknown number of 5-pound bags of potatoes.
The weight of 6 potato bags of 10 pound each will be pounds.
We can write an equation for the number of bags of potatoes by equating the weight of six 10-pound bags of potatoes and x 5-pound bags of potatoes with 180 pounds.
Therefore, the equation that represents the number of bags of potatoes in the crate is .